Chapter 2
detailed summary tables of results

 2.1 List of integrals sorted by grade for each CAS
  2.1.1 Rubi
  2.1.2 Mathematica
  2.1.3 Maple
  2.1.4 Maxima
  2.1.5 FriCAS
  2.1.6 Sympy
  2.1.7 Giac
 2.2 Detailed conclusion table per each integral for all CAS systems
 2.3 Detailed conclusion table specific for Rubi results

2.1 List of integrals sorted by grade for each CAS

2.1.1 Rubi

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700 }

B grade: { }

C grade: { }

F grade: { }

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 24, 25, 26, 27, 28, 32, 33, 34, 35, 36, 37, 38, 40, 42, 43, 44, 45, 46, 48, 49, 50, 51, 52, 53, 56, 57, 58, 59, 60, 63, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 81, 85, 86, 87, 89, 90, 91, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 117, 118, 119, 120, 121, 124, 126, 127, 128, 129, 130, 131, 132, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 151, 153, 155, 156, 157, 158, 161, 162, 163, 164, 165, 169, 170, 171, 173, 174, 175, 178, 179, 180, 181, 182, 183, 184, 186, 188, 190, 192, 194, 196, 198, 200, 202, 204, 206, 208, 210, 212, 214, 216, 218, 220, 222, 224, 226, 228, 230, 232, 234, 236, 238, 240, 242, 244, 246, 248, 250, 252, 254, 256, 258, 260, 262, 263, 264, 265, 266, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 323, 324, 325, 326, 327, 328, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 498, 500, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 521, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 540, 541, 542, 543, 544, 545, 546, 548, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 562, 563, 564, 565, 566, 567, 568, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 602, 624, 625, 626, 627, 628, 629, 630, 631, 640, 646, 647, 648, 649, 650, 655, 657, 661, 663, 665, 667, 669, 671, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695 }

B grade: { 22, 23, 29, 30, 31, 39, 41, 47, 54, 55, 61, 62, 64, 67, 77, 78, 79, 80, 82, 83, 84, 88, 92, 93, 94, 116, 122, 123, 125, 133, 149, 150, 152, 154, 159, 160, 166, 167, 168, 172, 176, 177, 267, 278, 296, 309, 322, 329, 466, 467, 468, 469, 470, 497, 499, 501, 502, 503, 520, 522, 534, 535, 536, 537, 538, 539, 549, 569, 570, 571, 573, 601, 603, 604, 635, 668, 670 }

C grade: { 185, 187, 189, 191, 193, 195, 197, 199, 201, 203, 205, 207, 209, 211, 213, 215, 217, 219, 221, 223, 225, 227, 229, 231, 233, 235, 237, 239, 241, 243, 245, 247, 249, 251, 253, 255, 257, 259, 261, 547, 560, 561, 572, 574, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 632, 633, 634, 636, 637, 638, 639, 641, 642, 643, 644, 645, 651, 652, 653, 654, 656, 658, 659, 660, 662, 664, 666, 672, 696, 697, 698, 699, 700 }

F grade: { }

2.1.3 Maple

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 40, 41, 44, 46, 47, 49, 50, 51, 53, 54, 55, 63, 71, 72, 81, 92, 99, 100, 101, 102, 103, 105, 106, 110, 111, 114, 115, 116, 117, 118, 119, 120, 121, 125, 126, 127, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 142, 143, 144, 145, 146, 148, 149, 151, 152, 153, 154, 155, 156, 157, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 177, 178, 180, 181, 182, 183, 184, 186, 190, 192, 194, 196, 198, 200, 201, 202, 204, 206, 208, 210, 212, 213, 214, 216, 218, 220, 222, 224, 226, 230, 232, 234, 236, 238, 240, 242, 244, 246, 248, 250, 252, 254, 256, 258, 260, 262, 279, 280, 281, 282, 286, 287, 288, 289, 293, 294, 296, 300, 301, 302, 303, 306, 309, 313, 314, 315, 319, 322, 326, 327, 328, 333, 334, 335, 336, 339, 340, 341, 342, 347, 348, 349, 350, 352, 353, 354, 355, 356, 361, 362, 363, 364, 365, 366, 368, 369, 370, 377, 378, 379, 380, 381, 382, 384, 385, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 405, 406, 407, 408, 409, 410, 411, 413, 414, 415, 416, 417, 419, 420, 421, 422, 426, 427, 428, 429, 433, 434, 435, 436, 467, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 535, 536, 540, 541, 542, 543, 544, 545, 546, 551, 552, 553, 554, 555, 556, 557, 558, 562, 563, 564, 565, 566, 567, 568, 569, 575, 576, 577, 648, 655, 657, 658, 659, 665, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 685, 686, 687 }

B grade: { 22, 24, 36, 37, 38, 39, 42, 43, 45, 48, 52, 56, 57, 58, 59, 60, 61, 62, 64, 65, 66, 67, 68, 69, 70, 73, 74, 75, 76, 77, 78, 79, 80, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 93, 94, 95, 96, 97, 98, 104, 107, 108, 109, 112, 113, 122, 123, 124, 128, 129, 140, 141, 147, 150, 158, 176, 179, 185, 187, 188, 189, 191, 193, 195, 197, 199, 203, 205, 207, 209, 211, 215, 217, 219, 221, 223, 225, 227, 228, 229, 231, 233, 235, 237, 239, 241, 243, 245, 247, 249, 251, 253, 255, 257, 259, 261, 283, 284, 285, 290, 291, 292, 295, 297, 298, 299, 304, 305, 307, 308, 310, 311, 312, 316, 317, 318, 320, 321, 323, 324, 325, 329, 330, 331, 332, 337, 338, 343, 344, 345, 346, 351, 357, 358, 359, 360, 367, 371, 372, 373, 374, 375, 376, 383, 386, 387, 388, 389, 390, 391, 392, 404, 412, 418, 423, 424, 425, 430, 431, 432, 520, 534, 537, 538, 539, 547, 548, 549, 550, 559, 560, 561, 570, 571, 572, 573, 574, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 656, 660, 661, 662, 663, 664, 666, 684 }

C grade: { 465, 466, 483, 484, 485, 486, 487, 504, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602 }

F grade: { 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 505, 506, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 649, 650, 651, 652, 653, 654, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700 }

2.1.4 Maxima

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 65, 68, 69, 70, 71, 72, 75, 76, 80, 81, 82, 83, 84, 89, 90, 99, 100, 101, 102, 103, 110, 114, 115, 116, 117, 118, 126, 130, 131, 132, 134, 135, 136, 143, 144, 148, 149, 151, 152, 154, 160, 161, 162, 166, 167, 168, 172, 178, 179, 180, 181, 182, 279, 280, 281, 282, 293, 294, 295, 296, 306, 307, 308, 309, 319, 320, 321, 322, 335, 336, 347, 348, 349, 350, 362, 363, 364, 365, 366, 378, 379, 380, 381, 382, 397, 398, 399, 405, 406, 407, 413, 414, 415, 417, 419, 420, 421, 422, 426, 427, 428, 429, 433, 434, 435, 436, 483, 484, 485, 486, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 554, 555, 556, 557, 558, 566, 567, 568, 569, 673, 674, 675, 681, 682, 683, 685

B grade: { 42, 48, 56, 61, 66, 67, 73, 74, 77, 78, 79, 85, 86, 87, 88, 91, 92, 93, 94, 95, 96, 97, 98, 107, 108, 109, 122, 123, 124, 125, 133, 140, 141, 142, 150, 153, 158, 159, 169, 170, 171, 176, 177, 288, 290, 291, 292, 300, 301, 303, 304, 315, 316, 317, 327, 328, 329, 330, 333, 334, 340, 341, 342, 343, 345, 346, 354, 355, 356, 357, 358, 360, 361, 369, 370, 371, 372, 373, 374, 376, 377, 385, 386, 387, 388, 390, 392, 393, 394, 395, 396, 400, 401, 402, 403, 404, 408, 409, 410, 411, 412, 416, 418, 423, 424, 425, 430, 431, 432, 443, 444, 445, 446, 447, 448, 449, 487, 491, 493, 495, 504, 505, 506, 559, 570, 571, 676, 677, 678, 679, 680, 684, 686, 687 }

C grade: { }

F grade: { 104, 105, 106, 111, 112, 113, 119, 120, 121, 127, 128, 129, 137, 138, 139, 145, 146, 147, 155, 156, 157, 163, 164, 165, 173, 174, 175, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 283, 284, 285, 286, 287, 289, 297, 298, 299, 302, 305, 310, 311, 312, 313, 314, 318, 323, 324, 325, 326, 331, 332, 337, 338, 339, 344, 351, 352, 353, 359, 367, 368, 375, 383, 384, 389, 391, 437, 438, 439, 440, 441, 442, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 488, 489, 490, 492, 494, 496, 497, 498, 499, 500, 501, 502, 503, 549, 550, 551, 552, 553, 560, 561, 562, 563, 564, 565, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700 }

2.1.5 FriCAS

A grade: { 6, 7, 8, 9, 10, 15, 16, 17, 18, 23, 24, 25, 26, 27, 31, 32, 33, 34, 35, 40, 41, 42, 43, 44, 47, 48, 49, 50, 51, 55, 56, 57, 58, 63, 64, 65, 66, 68, 69, 71, 72, 73, 74, 75, 76, 81, 83, 84, 85, 86, 87, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 110, 111, 112, 113, 117, 118, 119, 120, 121, 125, 126, 127, 128, 129, 135, 136, 137, 138, 139, 142, 143, 144, 145, 146, 147, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 167, 168, 169, 170, 171, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 279, 285, 286, 287, 288, 289, 292, 299, 300, 301, 302, 303, 313, 314, 315, 318, 326, 327, 328, 331, 332, 333, 334, 335, 336, 338, 339, 340, 341, 342, 347, 348, 349, 352, 353, 354, 355, 361, 362, 363, 364, 365, 368, 369, 377, 378, 379, 380, 381, 383, 384, 392, 393, 394, 395, 397, 398, 399, 401, 402, 403, 405, 406, 407, 408, 409, 410, 413, 414, 415, 416, 417, 419, 420, 421, 422, 423, 426, 427, 428, 429, 431, 433, 434, 435, 436, 443, 444, 445, 446, 447, 448, 449, 483, 484, 485, 486, 487, 491, 493, 505, 506, 507, 508, 509, 510, 511, 513, 514, 515, 516, 517, 518, 519, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 547, 548, 549, 553, 558, 559, 564, 565, 647, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 685, 686, 687 }

B grade: { 1, 2, 3, 4, 5, 11, 12, 13, 14, 19, 20, 21, 22, 28, 29, 30, 36, 37, 38, 39, 45, 46, 52, 53, 54, 59, 60, 61, 62, 67, 70, 77, 78, 79, 80, 82, 88, 107, 108, 109, 114, 115, 116, 122, 123, 124, 130, 131, 132, 133, 134, 140, 141, 148, 149, 150, 166, 172, 280, 281, 282, 283, 284, 290, 291, 293, 294, 295, 296, 297, 298, 304, 305, 306, 307, 308, 309, 310, 311, 312, 316, 317, 319, 320, 321, 322, 323, 324, 325, 329, 330, 337, 343, 344, 345, 346, 350, 351, 356, 357, 358, 359, 360, 366, 367, 370, 371, 372, 373, 374, 375, 376, 382, 385, 386, 387, 388, 389, 390, 391, 396, 400, 404, 411, 412, 418, 424, 425, 430, 432, 465, 466, 467, 495, 504, 512, 520, 534, 545, 546, 550, 551, 552, 554, 555, 556, 557, 560, 561, 562, 563, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 646, 648, 684 }

C grade: { }

F grade: { 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 437, 438, 439, 440, 441, 442, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 488, 489, 490, 492, 494, 496, 497, 498, 499, 500, 501, 502, 503, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 14, 15, 16, 17, 18, 23, 24, 25, 26, 27, 31, 32, 33, 34, 35, 40, 41, 42, 43, 44, 47, 48, 49, 50, 51, 54, 55, 56, 57, 58, 63, 64, 65, 66, 68, 69, 71, 72, 73, 74, 75, 76, 81, 82, 83, 84, 85, 86, 87, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 104, 105, 106, 111, 112, 113, 119, 120, 121, 127, 128, 129, 137, 138, 139, 145, 146, 147, 155, 156, 157, 163, 164, 165, 173, 174, 175, 183, 184, 507, 509, 511, 512 }

B grade: { 67, 88 }

C grade: { }

F grade: { 11, 12, 13, 19, 20, 21, 22, 28, 29, 30, 36, 37, 38, 39, 45, 46, 52, 53, 59, 60, 61, 62, 70, 77, 78, 79, 80, 99, 100, 101, 102, 103, 107, 108, 109, 110, 114, 115, 116, 117, 118, 122, 123, 124, 125, 126, 130, 131, 132, 133, 134, 135, 136, 140, 141, 142, 143, 144, 148, 149, 150, 151, 152, 153, 154, 158, 159, 160, 161, 162, 166, 167, 168, 169, 170, 171, 172, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 508, 510, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700 }

2.1.7 Giac

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 19, 20, 21, 23, 24, 26, 30, 31, 36, 37, 38, 41, 45, 46, 52, 53, 59, 60, 64, 70, 99, 100, 101, 102, 105, 106, 107, 108, 110, 111, 114, 115, 116, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 130, 131, 132, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 153, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 168, 173, 174, 175, 176, 177, 178, 180, 181, 182, 183, 184, 336, 507, 509, 511, 517, 518, 519, 531, 532, 533, 544, 545, 546, 550, 551, 552, 553, 554, 555, 556, 557, 558, 561, 562, 563, 564, 565, 566, 567, 568, 569, 576, 648 }

B grade: { 11, 12, 13, 14, 15, 16, 17, 18, 22, 25, 27, 28, 29, 32, 33, 34, 35, 39, 40, 42, 43, 44, 47, 48, 49, 50, 51, 54, 55, 56, 57, 58, 61, 62, 63, 65, 66, 67, 68, 69, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 103, 104, 109, 112, 113, 117, 129, 133, 134, 135, 136, 150, 151, 152, 154, 166, 167, 169, 170, 171, 172, 179, 508, 510, 512, 513, 514, 516, 520, 521, 522, 523, 524, 525, 526, 527, 534, 535, 536, 537, 538, 539, 540, 547, 548, 549, 559, 560, 570, 571, 572, 573, 574, 575, 577 }

C grade: { }

F grade: { 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 515, 528, 529, 530, 541, 542, 543, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700 }

2.2 Detailed conclusion table per each integral for all CAS systems

Detailed conclusion table per each integral is given by table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given just an F.

In this table,the column normalized size is defined as \(\frac{\text{antiderivative leaf size}}{\text{optimal antiderivative leaf size}}\)










Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 79 69 154 629 83 154
normalized size 1 1. 0.84 0.73 1.64 6.69 0.88 1.64
time (sec) N/A 0.188 0.361 0.093 1.101 1.301 123.932 1.175


















Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 63 59 124 486 68 124
normalized size 1 1. 0.84 0.79 1.65 6.48 0.91 1.65
time (sec) N/A 0.041 0.106 0.087 1.038 1.27 53.126 1.153


















Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 55 49 95 363 60 95
normalized size 1 1. 0.89 0.79 1.53 5.85 0.97 1.53
time (sec) N/A 0.037 0.103 0.082 1.097 1.118 18.457 1.139


















Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 43 39 65 239 48 65
normalized size 1 1. 0.93 0.85 1.41 5.2 1.04 1.41
time (sec) N/A 0.034 0.042 0.08 1.062 1.105 8.665 1.129


















Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 30 30 26 28 123 37 35
normalized size 1 1.11 1.11 0.96 1.04 4.56 1.37 1.3
time (sec) N/A 0.031 0.013 0.038 1.106 1.103 3.563 1.127


















Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 19 23 23 50 24 24
normalized size 1 1. 1. 1.21 1.21 2.63 1.26 1.26
time (sec) N/A 0.007 0.006 0.001 1.1 1.209 0.493 1.126


















Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 48 42 51 58 41 31
normalized size 1 1. 1.07 0.93 1.13 1.29 0.91 0.69
time (sec) N/A 0.031 0.056 0.044 1.67 1.11 0.228 1.121


















Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 46 53 82 165 138 139
normalized size 1 1. 0.69 0.79 1.22 2.46 2.06 2.07
time (sec) N/A 0.04 0.042 0.084 1.662 1.137 0.461 1.141


















Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 56 63 111 252 212 171
normalized size 1 1. 0.63 0.71 1.25 2.83 2.38 1.92
time (sec) N/A 0.052 0.058 0.084 1.675 1.07 0.783 1.14


















Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 68 73 139 342 280 204
normalized size 1 1. 0.61 0.66 1.25 3.08 2.52 1.84
time (sec) N/A 0.067 0.111 0.094 1.662 1.124 1.04 1.161


















Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 61 95 143 1170 0 247
normalized size 1 1. 0.62 0.97 1.46 11.94 0. 2.52
time (sec) N/A 0.061 0.293 0.085 1.104 1.09 0. 1.2


















Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 70 75 116 836 0 190
normalized size 1 1. 0.92 0.99 1.53 11. 0. 2.5
time (sec) N/A 0.048 0.152 0.085 1.116 1.251 0. 1.193


















Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 54 55 82 520 0 134
normalized size 1 1. 1. 1.02 1.52 9.63 0. 2.48
time (sec) N/A 0.035 0.013 0.081 1.111 1.119 0. 1.189


















Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 27 36 43 220 41 73
normalized size 1 1. 1. 1.33 1.59 8.15 1.52 2.7
time (sec) N/A 0.016 0.008 0.014 1.066 1.156 5.997 1.18


















Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 51 24 30 32 26 113
normalized size 1 1. 1.96 0.92 1.15 1.23 1. 4.35
time (sec) N/A 0.021 0.02 0.036 1.11 1.139 0.232 1.158


















Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 46 37 49 119 107 265
normalized size 1 1. 1. 0.8 1.07 2.59 2.33 5.76
time (sec) N/A 0.032 0.01 0.078 1.122 1.1 0.559 1.144


















Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 62 47 66 208 185 297
normalized size 1 1. 1. 0.76 1.06 3.35 2.98 4.79
time (sec) N/A 0.035 0.015 0.078 1.142 1.02 1.002 1.202


















Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 76 57 78 297 255 329
normalized size 1 1. 1. 0.75 1.03 3.91 3.36 4.33
time (sec) N/A 0.038 0.042 0.08 1.115 1.071 1.247 1.215


















Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 99 141 146 590 0 146
normalized size 1 1. 0.91 1.29 1.34 5.41 0. 1.34
time (sec) N/A 0.066 1.244 0.058 1.105 1.191 0. 1.203


















Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 90 113 128 464 0 128
normalized size 1 1. 1.1 1.38 1.56 5.66 0. 1.56
time (sec) N/A 0.056 0.881 0.056 1.095 1.067 0. 1.183


















Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 77 85 76 329 0 76
normalized size 1 1. 1.4 1.55 1.38 5.98 0. 1.38
time (sec) N/A 0.043 0.374 0.055 1.124 1.18 0. 1.167


















Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 68 51 28 212 0 57
normalized size 1 1. 2.52 1.89 1.04 7.85 0. 2.11
time (sec) N/A 0.038 0.328 0.051 1.114 1.124 0. 1.184


















Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 100 51 55 151 60 88
normalized size 1 1. 2.63 1.34 1.45 3.97 1.58 2.32
time (sec) N/A 0.017 0.633 0.005 1.665 1.06 0.938 1.135


















Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 31 73 43 46 37 23
normalized size 1 1. 1.24 2.92 1.72 1.84 1.48 0.92
time (sec) N/A 0.037 0.054 0.047 1.647 1.355 0.298 1.192


















Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 86 100 90 105 88 347
normalized size 1 1. 1.37 1.59 1.43 1.67 1.4 5.51
time (sec) N/A 0.061 0.44 0.055 1.643 1.146 0.45 1.192


















Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 116 121 124 217 187 228
normalized size 1 1. 0.99 1.03 1.06 1.85 1.6 1.95
time (sec) N/A 0.082 0.45 0.056 1.676 1.23 0.583 1.258


















Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 171 138 141 155 309 272 462
normalized size 1 1. 0.81 0.82 0.91 1.81 1.59 2.7
time (sec) N/A 0.107 0.489 0.059 1.656 1.11 1.004 1.256


















Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 159 169 244 1062 0 323
normalized size 1 1. 1.35 1.43 2.07 9. 0. 2.74
time (sec) N/A 0.087 1.011 0.053 1.084 1.251 0. 1.232


















Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 215 123 176 711 0 236
normalized size 1 1. 2.29 1.31 1.87 7.56 0. 2.51
time (sec) N/A 0.077 1.051 0.052 1.064 1.272 0. 1.213


















Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 146 79 112 397 0 147
normalized size 1 1. 2.15 1.16 1.65 5.84 0. 2.16
time (sec) N/A 0.04 0.801 0.021 1.121 1.268 0. 1.199


















Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 180 53 82 124 68 76
normalized size 1 1. 3.91 1.15 1.78 2.7 1.48 1.65
time (sec) N/A 0.034 0.214 0.044 1.09 1.209 0.526 1.199


















Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 50 54 70 84 76 717
normalized size 1 1. 0.98 1.06 1.37 1.65 1.49 14.06
time (sec) N/A 0.042 0.178 0.052 1.066 1.196 0.432 1.254


















Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 72 91 107 169 155 828
normalized size 1 1. 1.04 1.32 1.55 2.45 2.25 12.
time (sec) N/A 0.049 0.401 0.057 1.076 1.103 0.981 1.285


















Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 111 111 132 269 240 865
normalized size 1 1. 1.28 1.28 1.52 3.09 2.76 9.94
time (sec) N/A 0.052 0.415 0.055 1.142 1.019 0.976 1.346


















Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 133 131 161 365 316 903
normalized size 1 1. 1.27 1.25 1.53 3.48 3.01 8.6
time (sec) N/A 0.056 1.123 0.09 1.11 1.175 1.354 1.371


















Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 117 220 146 693 0 146
normalized size 1 1. 1.07 2.02 1.34 6.36 0. 1.34
time (sec) N/A 0.064 1.791 0.065 1.094 1.231 0. 1.254


















Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 106 174 146 547 0 146
normalized size 1 1. 1.29 2.12 1.78 6.67 0. 1.78
time (sec) N/A 0.056 1.206 0.061 1.133 1.04 0. 1.255


















Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 97 128 111 419 0 111
normalized size 1 1. 1.76 2.33 2.02 7.62 0. 2.02
time (sec) N/A 0.043 0.888 0.06 1.1 1.122 0. 1.256


















Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 84 73 28 284 0 76
normalized size 1 1. 3.11 2.7 1.04 10.52 0. 2.81
time (sec) N/A 0.037 0.489 0.057 1.118 1.191 0. 1.225


















Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 119 68 103 267 100 158
normalized size 1 1. 1.89 1.08 1.63 4.24 1.59 2.51
time (sec) N/A 0.032 0.784 0.004 1.667 1.233 1.357 1.116


















Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 99 87 84 93 53 49
normalized size 1 1. 2.02 1.78 1.71 1.9 1.08 1.
time (sec) N/A 0.049 0.277 0.051 1.691 1.181 0.709 1.252


















Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 50 114 77 89 82 182
normalized size 1 1. 1.85 4.22 2.85 3.3 3.04 6.74
time (sec) N/A 0.038 0.251 0.06 1.701 1.163 0.482 1.291


















Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 109 156 142 151 133 617
normalized size 1 1. 1.21 1.73 1.58 1.68 1.48 6.86
time (sec) N/A 0.067 0.539 0.062 1.696 1.212 0.732 1.352


















Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 131 176 173 271 228 694
normalized size 1 1. 0.91 1.22 1.2 1.88 1.58 4.82
time (sec) N/A 0.091 0.582 0.062 1.64 1.253 0.825 1.389


















Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 102 236 209 891 0 258
normalized size 1 1. 0.8 1.86 1.65 7.02 0. 2.03
time (sec) N/A 0.12 0.652 0.095 1.142 1.237 0. 1.283


















Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 93 167 147 554 0 171
normalized size 1 1. 0.94 1.69 1.48 5.6 0. 1.73
time (sec) N/A 0.066 0.497 0.026 1.126 1.227 0. 1.241


















Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 123 101 111 281 107 316
normalized size 1 1. 2.02 1.66 1.82 4.61 1.75 5.18
time (sec) N/A 0.05 0.649 0.044 1.226 1.193 0.81 1.313


















Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 31 76 101 46 37 1216
normalized size 1 1. 0.97 2.38 3.16 1.44 1.16 38.
time (sec) N/A 0.037 0.074 0.052 1.035 1.143 0.434 1.424


















Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 55 126 142 131 117 1254
normalized size 1 1. 0.62 1.43 1.61 1.49 1.33 14.25
time (sec) N/A 0.071 0.447 0.06 1.208 1.117 0.727 1.506


















Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 77 146 166 219 192 628
normalized size 1 1. 0.73 1.38 1.57 2.07 1.81 5.92
time (sec) N/A 0.076 0.573 0.062 1.157 1.078 1.024 1.52


















Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 116 166 196 319 277 1403
normalized size 1 1. 0.94 1.34 1.58 2.57 2.23 11.31
time (sec) N/A 0.084 0.652 0.063 1.205 1.183 1.746 1.628


















Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 171 324 332 1064 0 323
normalized size 1 1. 1.05 1.99 2.04 6.53 0. 1.98
time (sec) N/A 0.162 1.784 0.064 1.103 1.215 0. 1.353


















Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 237 231 243 717 0 236
normalized size 1 1. 1.78 1.74 1.83 5.39 0. 1.77
time (sec) N/A 0.096 1.215 0.028 1.187 1.196 0. 1.338


















Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 906 141 185 444 153 502
normalized size 1 1. 9.34 1.45 1.91 4.58 1.58 5.18
time (sec) N/A 0.074 6.432 0.052 1.13 1.203 1.344 1.417


















Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 246 130 163 176 110 1754
normalized size 1 1. 3.15 1.67 2.09 2.26 1.41 22.49
time (sec) N/A 0.076 0.486 0.052 1.082 1.191 0.735 1.656


















Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 50 139 159 93 82 1235
normalized size 1 1. 0.76 2.11 2.41 1.41 1.24 18.71
time (sec) N/A 0.074 0.356 0.063 1.145 1.002 0.652 1.632


















Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 73 203 201 174 158 1791
normalized size 1 1. 0.72 1.99 1.97 1.71 1.55 17.56
time (sec) N/A 0.089 0.683 0.065 1.103 1.249 1.068 1.811


















Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 111 233 244 267 230 1902
normalized size 1 1. 0.92 1.94 2.03 2.22 1.92 15.85
time (sec) N/A 0.101 0.707 0.069 1.061 1.092 1.264 1.887


















Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 167 377 216 883 0 216
normalized size 1 1. 1.53 3.46 1.98 8.1 0. 1.98
time (sec) N/A 0.073 3.589 0.083 1.125 1.196 0. 1.438


















Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 154 295 146 740 0 146
normalized size 1 1. 1.88 3.6 1.78 9.02 0. 1.78
time (sec) N/A 0.057 2.219 0.079 1.074 1.145 0. 1.49


















Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 143 213 146 591 0 146
normalized size 1 1. 2.6 3.87 2.65 10.75 0. 2.65
time (sec) N/A 0.043 1.697 0.078 1.134 1.093 0. 1.537


















Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 134 115 28 463 0 111
normalized size 1 1. 4.96 4.26 1.04 17.15 0. 4.11
time (sec) N/A 0.036 1.454 0.076 1.13 1.109 0. 1.583


















Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 228 101 223 527 185 300
normalized size 1 1. 1.95 0.86 1.91 4.5 1.58 2.56
time (sec) N/A 0.066 2.563 0.005 1.851 1.061 3.309 1.151


















Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 649 175 116 352 128 196
normalized size 1 1. 7.82 2.11 1.4 4.24 1.54 2.36
time (sec) N/A 0.059 6.552 0.107 1.702 1.09 1.387 1.439


















Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 110 146 119 142 82 608
normalized size 1 1. 1.51 2. 1.63 1.95 1.12 8.33
time (sec) N/A 0.055 0.625 0.069 1.805 1.159 0.936 1.55


















Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 50 231 126 93 82 252
normalized size 1 1. 0.91 4.2 2.29 1.69 1.49 4.58
time (sec) N/A 0.049 0.485 0.084 1.67 1.121 0.605 1.588


















Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 73 301 139 171 163 360
normalized size 1 1. 2.7 11.15 5.15 6.33 6.04 13.33
time (sec) N/A 0.038 0.932 0.091 1.641 1.16 0.831 1.618


















Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 137 331 221 248 211 1157
normalized size 1 1. 0.95 2.3 1.53 1.72 1.47 8.03
time (sec) N/A 0.086 1.411 0.135 1.731 1.088 1.051 1.808


















Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 198 198 159 361 252 371 303 1234
normalized size 1 1. 0.8 1.82 1.27 1.87 1.53 6.23
time (sec) N/A 0.114 2.642 0.133 1.677 1.316 1.325 1.869


















Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 167 167 115 329 290 891 0 258
normalized size 1 1. 0.69 1.97 1.74 5.34 0. 1.54
time (sec) N/A 0.126 1.011 0.072 1.117 1.136 0. 1.469


















Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 151 214 234 603 196 689
normalized size 1 1. 1.16 1.65 1.8 4.64 1.51 5.3
time (sec) N/A 0.104 1.547 0.064 1.133 1.189 2.246 1.704


















Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 130 179 208 332 150 2272
normalized size 1 1. 1.33 1.83 2.12 3.39 1.53 23.18
time (sec) N/A 0.089 1.637 0.062 1.139 1.282 0.978 2.057


















Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 31 170 205 46 37 2253
normalized size 1 1. 0.97 5.31 6.41 1.44 1.16 70.41
time (sec) N/A 0.036 0.155 0.074 1.194 1.434 0.471 1.956


















Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 55 257 252 139 122 2291
normalized size 1 1. 0.54 2.54 2.5 1.38 1.21 22.68
time (sec) N/A 0.114 0.772 0.091 1.16 1.399 0.757 2.107


















Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 141 94 287 293 224 194 2329
normalized size 1 1. 0.67 2.04 2.08 1.59 1.38 16.52
time (sec) N/A 0.122 0.834 0.09 1.191 1.581 1.115 2.181


















Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 159 159 118 317 332 321 267 2439
normalized size 1 1. 0.74 1.99 2.09 2.02 1.68 15.34
time (sec) N/A 0.126 1.199 0.121 1.136 1.559 1.453 2.307


















Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 245 611 251 1195 0 251
normalized size 1 1. 2.25 5.61 2.3 10.96 0. 2.3
time (sec) N/A 0.081 8.613 0.1 1.476 1.442 0. 1.815


















Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 234 475 234 1041 0 234
normalized size 1 1. 2.85 5.79 2.85 12.7 0. 2.85
time (sec) N/A 0.071 6.223 0.097 1.119 1.396 0. 1.765


















Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 223 339 181 890 0 181
normalized size 1 1. 4.05 6.16 3.29 16.18 0. 3.29
time (sec) N/A 0.045 4.205 0.095 1.343 1.541 0. 1.817


















Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 212 180 28 741 0 162
normalized size 1 1. 7.85 6.67 1.04 27.44 0. 6.
time (sec) N/A 0.038 2.864 0.089 1.164 1.291 0. 1.793


















Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 200 200 383 150 163 976 313 510
normalized size 1 1. 1.92 0.75 0.82 4.88 1.56 2.55
time (sec) N/A 0.139 4.13 0.006 1.628 1.458 13.339 1.212


















Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 321 406 167 760 252 408
normalized size 1 1. 2.41 3.05 1.26 5.71 1.89 3.07
time (sec) N/A 0.082 6.051 0.156 1.516 1.543 5.693 1.913


















Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 566 306 184 536 201 1060
normalized size 1 1. 4.56 2.47 1.48 4.32 1.62 8.55
time (sec) N/A 0.077 2.231 0.075 1.571 1.537 2.868 2.196


















Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 414 319 197 323 144 1079
normalized size 1 1. 3.63 2.8 1.73 2.83 1.26 9.46
time (sec) N/A 0.071 2.094 0.07 1.638 1.494 1.62 2.334


















Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 31 451 185 46 37 514
normalized size 1 1. 0.72 10.49 4.3 1.07 0.86 11.95
time (sec) N/A 0.042 0.295 0.077 2.414 1.425 0.949 2.315


















Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 55 588 205 140 122 552
normalized size 1 1. 0.69 7.35 2.56 1.75 1.52 6.9
time (sec) N/A 0.056 1.151 0.092 1.598 1.656 1.325 2.423


















Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 77 639 219 227 199 590
normalized size 1 1. 1.4 11.62 3.98 4.13 3.62 10.73
time (sec) N/A 0.048 1.17 0.092 1.525 1.684 1.613 2.546


















Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 116 689 232 308 280 628
normalized size 1 1. 4.3 25.52 8.59 11.41 10.37 23.26
time (sec) N/A 0.038 1.635 0.136 1.734 1.911 2.025 2.662


















Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 225 225 166 739 332 405 325 1967
normalized size 1 1. 0.74 3.28 1.48 1.8 1.44 8.74
time (sec) N/A 0.115 5.351 0.141 1.816 2.601 2.35 3.079


















Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 279 279 188 789 363 528 415 2044
normalized size 1 1. 0.67 2.83 1.3 1.89 1.49 7.33
time (sec) N/A 0.156 6.716 0.13 1.769 2.825 2.871 3.354


















Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 235 235 205 464 535 1137 326 1247
normalized size 1 1. 0.87 1.97 2.28 4.84 1.39 5.31
time (sec) N/A 0.204 2.641 0.104 1.189 1.799 12.387 2.3


















Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B A A B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 205 205 1540 356 475 819 282 3827
normalized size 1 1. 7.51 1.74 2.32 4. 1.38 18.67
time (sec) N/A 0.193 6.948 0.076 1.193 1.866 4.806 2.998


















Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 173 173 1162 322 440 537 236 3846
normalized size 1 1. 6.72 1.86 2.54 3.1 1.36 22.23
time (sec) N/A 0.167 6.886 0.074 1.122 1.85 1.99 3.204


















Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 152 305 385 417 271 189 3865
normalized size 1 1. 2.01 2.53 2.74 1.78 1.24 25.43
time (sec) N/A 0.16 2.234 0.082 1.038 1.918 1.518 3.466


















Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 50 447 408 95 82 3309
normalized size 1 1. 0.76 6.77 6.18 1.44 1.24 50.14
time (sec) N/A 0.074 0.565 0.094 1.149 1.906 1.213 3.545


















Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 73 567 479 190 163 3865
normalized size 1 1. 0.54 4.17 3.52 1.4 1.2 28.42
time (sec) N/A 0.156 1.274 0.094 1.175 2.091 1.574 3.811


















Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 211 211 111 617 547 292 241 3903
normalized size 1 1. 0.53 2.92 2.59 1.38 1.14 18.5
time (sec) N/A 0.254 1.273 0.125 1.175 2.244 2.038 4.355


















Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 212 212 133 667 612 382 314 3941
normalized size 1 1. 0.63 3.15 2.89 1.8 1.48 18.59
time (sec) N/A 0.197 3.103 0.131 1.178 2.368 2.458 4.307


















Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 107 71 87 117 458 0 117
normalized size 1 1. 0.66 0.81 1.09 4.28 0. 1.09
time (sec) N/A 0.07 0.331 0.063 1.056 1.696 0. 1.166


















Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 60 68 90 333 0 90
normalized size 1 1. 0.75 0.85 1.12 4.16 0. 1.12
time (sec) N/A 0.062 0.258 0.061 1.134 1.87 0. 1.157


















Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 49 47 63 208 0 63
normalized size 1 1. 0.89 0.85 1.15 3.78 0. 1.15
time (sec) N/A 0.051 0.166 0.06 1.397 1.958 0. 1.198


















Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 35 26 36 88 0 36
normalized size 1 1. 1.03 0.76 1.06 2.59 0. 1.06
time (sec) N/A 0.043 0.164 0.054 1.139 1.787 0. 1.159


















Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 31 23 27 65 0 80
normalized size 1 1. 1.35 1. 1.17 2.83 0. 3.48
time (sec) N/A 0.041 0.089 0.03 1.164 2.215 0. 1.184


















Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 45 59 0 86 61 81
normalized size 1 1. 1.36 1.79 0. 2.61 1.85 2.45
time (sec) N/A 0.012 0.102 0.026 0. 1.918 0.215 1.138


















Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 78 98 0 159 153 134
normalized size 1 1. 0.95 1.2 0. 1.94 1.87 1.63
time (sec) N/A 0.068 0.25 0.082 0. 1.913 0.495 1.139


















Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 109 137 0 242 221 157
normalized size 1 1. 0.81 1.02 0. 1.81 1.65 1.17
time (sec) N/A 0.087 0.206 0.083 0. 1.944 0.791 1.161


















Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 60 430 390 810 0 189
normalized size 1 1. 0.71 5.12 4.64 9.64 0. 2.25
time (sec) N/A 0.077 0.331 0.08 1.279 2.244 0. 1.245


















Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 50 258 251 505 0 136
normalized size 1 1. 0.83 4.3 4.18 8.42 0. 2.27
time (sec) N/A 0.054 0.22 0.072 1.036 2.175 0. 1.192


















Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 34 85 112 217 0 81
normalized size 1 1. 1.1 2.74 3.61 7. 0. 2.61
time (sec) N/A 0.044 0.129 0.063 1.054 2.105 0. 1.2


















Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 25 23 39 35 0 28
normalized size 1 1. 0.89 0.82 1.39 1.25 0. 1.
time (sec) N/A 0.023 0.027 0.034 0.985 2.162 0. 1.153


















Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 50 75 0 122 128 90
normalized size 1 1. 1.06 1.6 0. 2.6 2.72 1.91
time (sec) N/A 0.037 0.117 0.078 0. 1.968 0.487 1.134


















Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 72 141 0 200 197 161
normalized size 1 1. 1.07 2.1 0. 2.99 2.94 2.4
time (sec) N/A 0.052 0.152 0.084 0. 2.033 0.856 1.154


















Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 94 207 0 284 265 231
normalized size 1 1. 1.11 2.44 0. 3.34 3.12 2.72
time (sec) N/A 0.055 0.173 0.085 0. 2.031 1.328 1.156


















Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 90 78 104 402 0 104
normalized size 1 1. 1.1 0.95 1.27 4.9 0. 1.27
time (sec) N/A 0.063 0.418 0.075 1.137 2.11 0. 1.17


















Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 77 47 63 267 0 63
normalized size 1 1. 1.4 0.85 1.15 4.85 0. 1.15
time (sec) N/A 0.051 0.328 0.072 1.158 2.128 0. 1.153


















Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 68 36 47 139 0 47
normalized size 1 1. 2.52 1.33 1.74 5.15 0. 1.74
time (sec) N/A 0.044 0.209 0.068 1.095 1.939 0. 1.189


















Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 71 35 43 192 0 138
normalized size 1 1. 1.87 0.92 1.13 5.05 0. 3.63
time (sec) N/A 0.049 0.366 0.063 0.962 2.369 0. 1.202


















Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 32 24 28 49 0 41
normalized size 1 1. 1.23 0.92 1.08 1.88 0. 1.58
time (sec) N/A 0.043 0.04 0.032 0.955 2.264 0. 1.192


















Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 68 79 0 126 119 97
normalized size 1 1. 1.11 1.3 0. 2.07 1.95 1.59
time (sec) N/A 0.029 0.165 0.023 0. 2.193 0.34 1.118


















Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 95 117 0 198 190 139
normalized size 1 1. 0.83 1.03 0. 1.74 1.67 1.22
time (sec) N/A 0.081 0.258 0.093 0. 2.246 0.68 1.161


















Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 120 157 0 279 260 171
normalized size 1 1. 0.73 0.95 0. 1.69 1.58 1.04
time (sec) N/A 0.103 0.252 0.094 0. 2.298 1.171 1.144


















Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 294 514 568 996 0 277
normalized size 1 1. 2.37 4.15 4.58 8.03 0. 2.23
time (sec) N/A 0.081 1.797 0.091 1.041 2.496 0. 1.217


















Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 215 342 398 667 0 207
normalized size 1 1. 2.15 3.42 3.98 6.67 0. 2.07
time (sec) N/A 0.068 0.708 0.086 1.093 2.376 0. 1.246


















Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 146 170 225 375 0 131
normalized size 1 1. 1.97 2.3 3.04 5.07 0. 1.77
time (sec) N/A 0.058 0.365 0.078 1.017 2.427 0. 1.191


















Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 184 63 158 161 0 80
normalized size 1 1. 3.83 1.31 3.29 3.35 0. 1.67
time (sec) N/A 0.047 0.178 0.073 1.491 2.305 0. 1.263


















Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 38 57 61 86 0 63
normalized size 1 1. 0.58 0.88 0.94 1.32 0. 0.97
time (sec) N/A 0.054 0.074 0.044 0.981 2.213 0. 1.156


















Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 68 108 0 161 165 126
normalized size 1 1. 0.96 1.52 0. 2.27 2.32 1.77
time (sec) N/A 0.048 0.272 0.087 0. 2.24 0.723 1.151


















Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 95 174 0 244 233 196
normalized size 1 1. 1.07 1.96 0. 2.74 2.62 2.2
time (sec) N/A 0.059 0.191 0.09 0. 2.324 1.227 1.149


















Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 107 117 240 0 329 301 266
normalized size 1 1. 1.09 2.24 0. 3.07 2.81 2.49
time (sec) N/A 0.062 0.348 0.092 0. 2.339 1.726 1.162


















Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 117 89 117 587 0 117
normalized size 1 1. 1.07 0.82 1.07 5.39 0. 1.07
time (sec) N/A 0.069 0.683 0.084 1.018 2.61 0. 1.194


















Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 106 89 117 443 0 117
normalized size 1 1. 1.29 1.09 1.43 5.4 0. 1.43
time (sec) N/A 0.061 0.469 0.079 0.987 2.347 0. 1.202


















Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 97 68 90 316 0 90
normalized size 1 1. 1.76 1.24 1.64 5.75 0. 1.64
time (sec) N/A 0.047 0.436 0.078 1.059 2.354 0. 1.186


















Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B B F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 84 47 63 177 0 63
normalized size 1 1. 3.11 1.74 2.33 6.56 0. 2.33
time (sec) N/A 0.039 0.379 0.073 0.971 2.303 0. 1.21


















Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 113 52 61 317 0 176
normalized size 1 1. 1.95 0.9 1.05 5.47 0. 3.03
time (sec) N/A 0.047 0.375 0.079 0.968 2.339 0. 1.235


















Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 88 40 89 157 0 138
normalized size 1 1. 1.76 0.8 1.78 3.14 0. 2.76
time (sec) N/A 0.049 0.215 0.08 0.982 2.267 0. 1.201


















Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 42 24 28 86 0 77
normalized size 1 1. 1.56 0.89 1.04 3.19 0. 2.85
time (sec) N/A 0.053 0.07 0.038 0.946 2.225 0. 1.161


















Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 93 98 0 166 156 108
normalized size 1 1. 1.06 1.11 0. 1.89 1.77 1.23
time (sec) N/A 0.047 0.195 0.026 0. 2.227 0.592 1.112


















Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 141 115 137 0 247 226 161
normalized size 1 1. 0.82 0.97 0. 1.75 1.6 1.14
time (sec) N/A 0.086 0.224 0.097 0. 2.258 1.042 1.177


















Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 195 195 137 176 0 333 294 184
normalized size 1 1. 0.7 0.9 0. 1.71 1.51 0.94
time (sec) N/A 0.116 0.374 0.102 0. 2.414 1.338 1.188


















Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 113 430 460 836 0 224
normalized size 1 1. 0.95 3.61 3.87 7.03 0. 1.88
time (sec) N/A 0.115 0.376 0.102 1.081 2.599 0. 1.233


















Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 63 258 290 521 0 154
normalized size 1 1. 0.68 2.77 3.12 5.6 0. 1.66
time (sec) N/A 0.098 0.38 0.098 1.007 2.491 0. 1.249


















Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 108 108 444 302 0 151
normalized size 1 1. 1.66 1.66 6.83 4.65 0. 2.32
time (sec) N/A 0.085 0.273 0.079 1.55 2.36 0. 1.224


















Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 32 57 39 49 0 49
normalized size 1 1. 1. 1.78 1.22 1.53 0. 1.53
time (sec) N/A 0.037 0.047 0.081 0.99 2.223 0. 1.201


















Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 54 90 93 128 0 99
normalized size 1 1. 0.55 0.92 0.95 1.31 0. 1.01
time (sec) N/A 0.077 0.118 0.049 0.991 2.029 0. 1.177


















Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 76 141 0 205 199 161
normalized size 1 1. 0.75 1.4 0. 2.03 1.97 1.59
time (sec) N/A 0.081 0.177 0.094 0. 2.234 1.059 1.165


















Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 98 207 0 289 267 231
normalized size 1 1. 0.81 1.71 0. 2.39 2.21 1.91
time (sec) N/A 0.113 0.225 0.103 0. 2.305 1.595 1.17


















Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 120 273 0 390 335 301
normalized size 1 1. 0.86 1.96 0. 2.81 2.41 2.17
time (sec) N/A 0.117 0.547 0.103 0. 2.407 2.182 1.183


















Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 136 99 131 494 0 131
normalized size 1 1. 1.66 1.21 1.6 6.02 0. 1.6
time (sec) N/A 0.064 0.56 0.087 0.985 2.804 0. 1.199


















Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 127 67 90 360 0 90
normalized size 1 1. 2.31 1.22 1.64 6.55 0. 1.64
time (sec) N/A 0.047 0.347 0.085 0.987 2.501 0. 1.16


















Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 116 57 77 227 0 74
normalized size 1 1. 4.3 2.11 2.85 8.41 0. 2.74
time (sec) N/A 0.04 0.368 0.084 0.977 2.413 0. 1.209


















Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 168 68 72 463 0 211
normalized size 1 1. 1.87 0.76 0.8 5.14 0. 2.34
time (sec) N/A 0.056 0.67 0.085 0.995 2.485 0. 1.201


















Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 214 53 130 286 0 198
normalized size 1 1. 3.4 0.84 2.06 4.54 0. 3.14
time (sec) N/A 0.053 0.572 0.073 0.998 2.427 0. 1.195


















Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 32 36 90 49 0 59
normalized size 1 1. 1.1 1.24 3.1 1.69 0. 2.03
time (sec) N/A 0.041 0.051 0.084 1.004 2.372 0. 1.178


















Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 56 24 28 123 0 115
normalized size 1 1. 2.07 0.89 1.04 4.56 0. 4.26
time (sec) N/A 0.039 0.143 0.039 0.964 2.39 0. 1.196


















Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 98 118 0 205 190 124
normalized size 1 1. 0.84 1.02 0. 1.77 1.64 1.07
time (sec) N/A 0.062 0.183 0.027 0. 2.387 0.818 1.12


















Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 169 169 120 156 0 292 260 166
normalized size 1 1. 0.71 0.92 0. 1.73 1.54 0.98
time (sec) N/A 0.096 0.253 0.103 0. 2.359 1.232 1.145


















Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 224 224 142 196 0 379 328 198
normalized size 1 1. 0.63 0.88 0. 1.69 1.46 0.88
time (sec) N/A 0.125 0.495 0.1 0. 2.389 1.525 1.188


















Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 237 342 398 674 0 207
normalized size 1 1. 1.78 2.57 2.99 5.07 0. 1.56
time (sec) N/A 0.114 0.961 0.099 1.054 2.512 0. 1.232


















Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 107 988 192 630 455 0 155
normalized size 1 1. 9.23 1.79 5.89 4.25 0. 1.45
time (sec) N/A 0.101 6.124 0.095 1.615 2.41 0. 1.204


















Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 247 86 190 221 0 99
normalized size 1 1. 3.01 1.05 2.32 2.7 0. 1.21
time (sec) N/A 0.087 0.241 0.09 1.513 2.513 0. 1.21


















Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 40 90 72 90 0 99
normalized size 1 1. 0.59 1.32 1.06 1.32 0. 1.46
time (sec) N/A 0.079 0.08 0.089 0.992 2.321 0. 1.178


















Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 73 123 123 166 0 134
normalized size 1 1. 0.55 0.93 0.93 1.26 0. 1.02
time (sec) N/A 0.108 0.185 0.05 1.011 2.243 0. 1.14


















Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 95 174 0 248 233 196
normalized size 1 1. 0.71 1.3 0. 1.85 1.74 1.46
time (sec) N/A 0.12 0.191 0.104 0. 2.327 1.637 1.182


















Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 117 240 0 336 301 266
normalized size 1 1. 0.75 1.54 0. 2.15 1.93 1.71
time (sec) N/A 0.148 0.353 0.107 0. 2.329 2.022 1.157


















Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 174 174 139 306 0 435 369 336
normalized size 1 1. 0.8 1.76 0. 2.5 2.12 1.93
time (sec) N/A 0.158 0.791 0.11 0. 2.483 2.605 1.177


















Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 599 120 313 878 0 340
normalized size 1 1. 4.47 0.9 2.34 6.55 0. 2.54
time (sec) N/A 0.079 2.712 0.132 1.197 3.335 0. 1.251


















Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 537 107 288 616 0 304
normalized size 1 1. 4.26 0.85 2.29 4.89 0. 2.41
time (sec) N/A 0.077 1.386 0.12 1.243 3.008 0. 1.217


















Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 397 92 255 370 0 270
normalized size 1 1. 3.42 0.79 2.2 3.19 0. 2.33
time (sec) N/A 0.068 0.886 0.094 1.253 2.853 0. 1.219


















Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 32 63 217 49 0 95
normalized size 1 1. 0.74 1.47 5.05 1.14 0. 2.21
time (sec) N/A 0.043 0.059 0.115 1.148 2.523 0. 1.195


















Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 56 49 192 132 0 185
normalized size 1 1. 0.69 0.6 2.37 1.63 0. 2.28
time (sec) N/A 0.056 0.154 0.102 1.15 2.466 0. 1.185


















Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 78 36 165 205 0 220
normalized size 1 1. 1.42 0.65 3. 3.73 0. 4.
time (sec) N/A 0.048 0.21 0.12 1.159 2.327 0. 1.175


















Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 100 24 28 278 0 255
normalized size 1 1. 3.7 0.89 1.04 10.3 0. 9.44
time (sec) N/A 0.039 0.229 0.054 1.192 2.352 0. 1.243


















Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 229 229 148 196 0 396 326 178
normalized size 1 1. 0.65 0.86 0. 1.73 1.42 0.78
time (sec) N/A 0.153 0.484 0.029 0. 2.404 2.112 1.107


















Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 278 278 170 234 0 479 396 220
normalized size 1 1. 0.61 0.84 0. 1.72 1.42 0.79
time (sec) N/A 0.144 0.966 0.119 0. 2.445 2.735 1.187


















Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 333 333 192 274 0 571 464 254
normalized size 1 1. 0.58 0.82 0. 1.71 1.39 0.76
time (sec) N/A 0.181 1.5 0.122 0. 2.552 2.011 1.17


















Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B A F(-2) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 205 205 1704 409 1075 826 0 266
normalized size 1 1. 8.31 2. 5.24 4.03 0. 1.3
time (sec) N/A 0.217 6.213 0.146 2.092 2.956 0. 1.248


















Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 183 183 1244 282 730 554 0 225
normalized size 1 1. 6.8 1.54 3.99 3.03 0. 1.23
time (sec) N/A 0.2 6.184 0.12 1.91 3.025 0. 1.257


















Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 304 176 250 306 0 169
normalized size 1 1. 1.95 1.13 1.6 1.96 0. 1.08
time (sec) N/A 0.216 1.034 0.11 1.853 2.652 0. 1.231


















Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 40 156 72 92 0 169
normalized size 1 1. 0.59 2.29 1.06 1.35 0. 2.49
time (sec) N/A 0.08 0.101 0.108 1.216 2.445 0. 1.229


















Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 73 189 131 177 0 204
normalized size 1 1. 0.53 1.37 0.95 1.28 0. 1.48
time (sec) N/A 0.175 0.209 0.109 1.237 2.43 0. 1.252


















Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 213 213 95 222 190 267 0 239
normalized size 1 1. 0.45 1.04 0.89 1.25 0. 1.12
time (sec) N/A 0.276 0.25 0.125 1.243 2.32 0. 1.196


















Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 269 269 117 255 242 355 0 274
normalized size 1 1. 0.43 0.95 0.9 1.32 0. 1.02
time (sec) N/A 0.26 0.429 0.059 1.253 2.534 0. 1.163


















Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 271 271 139 306 0 452 369 336
normalized size 1 1. 0.51 1.13 0. 1.67 1.36 1.24
time (sec) N/A 0.312 0.901 0.118 0. 2.666 3.499 1.177


















Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 301 301 161 372 0 543 437 406
normalized size 1 1. 0.53 1.24 0. 1.8 1.45 1.35
time (sec) N/A 0.384 1.319 0.125 0. 2.549 4.395 1.2


















Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 156 365 0 0 0 0
normalized size 1 1. 1.27 2.97 0. 0. 0. 0.
time (sec) N/A 0.091 2.139 0.365 0. 0. 0. 0.


















Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 57 192 0 0 0 0
normalized size 1 1. 0.61 2.04 0. 0. 0. 0.
time (sec) N/A 0.06 0.504 0.232 0. 0. 0. 0.


















Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 102 351 0 0 0 0
normalized size 1 1. 1.13 3.9 0. 0. 0. 0.
time (sec) N/A 0.061 0.801 0.21 0. 0. 0. 0.


















Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 44 164 0 0 0 0
normalized size 1 1. 0.73 2.73 0. 0. 0. 0.
time (sec) N/A 0.043 0.236 0.238 0. 0. 0. 0.


















Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 73 910 0 0 0 0
normalized size 1 1. 1.22 15.17 0. 0. 0. 0.
time (sec) N/A 0.047 0.344 0.243 0. 0. 0. 0.


















Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 62 170 0 0 0 0
normalized size 1 1. 0.65 1.77 0. 0. 0. 0.
time (sec) N/A 0.068 0.395 0.199 0. 0. 0. 0.


















Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 99 339 0 0 0 0
normalized size 1 1. 1.03 3.53 0. 0. 0. 0.
time (sec) N/A 0.065 0.755 0.191 0. 0. 0. 0.


















Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 121 187 0 0 0 0
normalized size 1 1. 0.97 1.5 0. 0. 0. 0.
time (sec) N/A 0.082 0.674 0.196 0. 0. 0. 0.


















Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 267 374 0 0 0 0
normalized size 1 1. 1.93 2.71 0. 0. 0. 0.
time (sec) N/A 0.117 2.502 0.266 0. 0. 0. 0.


















Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 67 201 0 0 0 0
normalized size 1 1. 0.63 1.9 0. 0. 0. 0.
time (sec) N/A 0.089 0.614 0.237 0. 0. 0. 0.


















Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 107 132 1099 0 0 0 0
normalized size 1 1. 1.23 10.27 0. 0. 0. 0.
time (sec) N/A 0.081 0.979 0.266 0. 0. 0. 0.


















Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 114 173 0 0 0 0
normalized size 1 1. 1.34 2.04 0. 0. 0. 0.
time (sec) N/A 0.071 0.437 0.224 0. 0. 0. 0.


















Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 114 343 0 0 0 0
normalized size 1 1. 1.34 4.04 0. 0. 0. 0.
time (sec) N/A 0.072 0.983 0.203 0. 0. 0. 0.


















Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 133 189 0 0 0 0
normalized size 1 1. 1.15 1.63 0. 0. 0. 0.
time (sec) N/A 0.087 0.877 0.203 0. 0. 0. 0.


















Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 133 353 0 0 0 0
normalized size 1 1. 1.15 3.04 0. 0. 0. 0.
time (sec) N/A 0.087 1.704 0.254 0. 0. 0. 0.


















Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 155 205 0 0 0 0
normalized size 1 1. 1.05 1.39 0. 0. 0. 0.
time (sec) N/A 0.106 1.242 0.283 0. 0. 0. 0.


















Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 202 202 442 402 0 0 0 0
normalized size 1 1. 2.19 1.99 0. 0. 0. 0.
time (sec) N/A 0.201 7.557 0.371 0. 0. 0. 0.


















Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 89 229 0 0 0 0
normalized size 1 1. 0.51 1.31 0. 0. 0. 0.
time (sec) N/A 0.188 1.697 0.292 0. 0. 0. 0.


















Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 129 392 0 0 0 0
normalized size 1 1. 0.74 2.24 0. 0. 0. 0.
time (sec) N/A 0.185 2.46 0.281 0. 0. 0. 0.


















Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 79 213 0 0 0 0
normalized size 1 1. 0.57 1.53 0. 0. 0. 0.
time (sec) N/A 0.139 1.249 0.276 0. 0. 0. 0.


















Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 146 101 2552 0 0 0 0
normalized size 1 1.18 0.81 20.58 0. 0. 0. 0.
time (sec) N/A 0.134 1.561 0.317 0. 0. 0. 0.


















Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 123 175 0 0 0 0
normalized size 1 1. 1.11 1.58 0. 0. 0. 0.
time (sec) N/A 0.102 0.655 0.274 0. 0. 0. 0.


















Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 108 1086 0 0 0 0
normalized size 1 1. 0.97 9.78 0. 0. 0. 0.
time (sec) N/A 0.101 1.257 0.245 0. 0. 0. 0.


















Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 133 199 0 0 0 0
normalized size 1 1. 1.07 1.6 0. 0. 0. 0.
time (sec) N/A 0.127 0.933 0.231 0. 0. 0. 0.


















Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 118 370 0 0 0 0
normalized size 1 1. 0.95 2.98 0. 0. 0. 0.
time (sec) N/A 0.127 2.409 0.283 0. 0. 0. 0.


















Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 155 155 148 216 0 0 0 0
normalized size 1 1. 0.95 1.39 0. 0. 0. 0.
time (sec) N/A 0.155 1.25 0.287 0. 0. 0. 0.


















Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 155 155 155 380 0 0 0 0
normalized size 1 1. 1. 2.45 0. 0. 0. 0.
time (sec) N/A 0.148 6.361 0.37 0. 0. 0. 0.


















Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 186 186 170 232 0 0 0 0
normalized size 1 1. 0.91 1.25 0. 0. 0. 0.
time (sec) N/A 0.173 1.851 0.378 0. 0. 0. 0.


















Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 215 215 429 401 0 0 0 0
normalized size 1 1. 2. 1.87 0. 0. 0. 0.
time (sec) N/A 0.257 7.481 0.325 0. 0. 0. 0.


















Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 183 183 101 230 0 0 0 0
normalized size 1 1. 0.55 1.26 0. 0. 0. 0.
time (sec) N/A 0.202 1.465 0.318 0. 0. 0. 0.


















Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 178 178 123 1618 0 0 0 0
normalized size 1 1. 0.69 9.09 0. 0. 0. 0.
time (sec) N/A 0.186 3.981 0.337 0. 0. 0. 0.


















Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 146 146 130 198 0 0 0 0
normalized size 1 1. 0.89 1.36 0. 0. 0. 0.
time (sec) N/A 0.149 1.165 0.332 0. 0. 0. 0.


















Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 110 3762 0 0 0 0
normalized size 1 1. 0.71 24.12 0. 0. 0. 0.
time (sec) N/A 0.139 2.515 0.336 0. 0. 0. 0.


















Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 133 200 0 0 0 0
normalized size 1 1. 1.06 1.6 0. 0. 0. 0.
time (sec) N/A 0.134 1.031 0.245 0. 0. 0. 0.


















Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 108 370 0 0 0 0
normalized size 1 1. 0.86 2.96 0. 0. 0. 0.
time (sec) N/A 0.131 3.667 0.285 0. 0. 0. 0.


















Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 148 215 0 0 0 0
normalized size 1 1. 0.95 1.38 0. 0. 0. 0.
time (sec) N/A 0.147 1.389 0.306 0. 0. 0. 0.


















Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 156 156 450 380 0 0 0 0
normalized size 1 1. 2.88 2.44 0. 0. 0. 0.
time (sec) N/A 0.147 6.929 0.357 0. 0. 0. 0.


















Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 187 187 155 232 0 0 0 0
normalized size 1 1. 0.83 1.24 0. 0. 0. 0.
time (sec) N/A 0.167 2.048 0.364 0. 0. 0. 0.


















Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 128 375 0 0 0 0
normalized size 1 1. 0.94 2.76 0. 0. 0. 0.
time (sec) N/A 0.108 1.433 0.274 0. 0. 0. 0.


















Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 62 202 0 0 0 0
normalized size 1 1. 0.59 1.92 0. 0. 0. 0.
time (sec) N/A 0.089 0.585 0.239 0. 0. 0. 0.


















Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 102 361 0 0 0 0
normalized size 1 1. 1.01 3.57 0. 0. 0. 0.
time (sec) N/A 0.088 0.722 0.233 0. 0. 0. 0.


















Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 49 174 0 0 0 0
normalized size 1 1. 0.7 2.49 0. 0. 0. 0.
time (sec) N/A 0.074 0.302 0.237 0. 0. 0. 0.


















Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 74 916 0 0 0 0
normalized size 1 1. 1.06 13.09 0. 0. 0. 0.
time (sec) N/A 0.073 0.383 0.248 0. 0. 0. 0.


















Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 83 192 0 0 0 0
normalized size 1 1. 1.04 2.4 0. 0. 0. 0.
time (sec) N/A 0.067 0.305 0.319 0. 0. 0. 0.


















Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 109 358 0 0 0 0
normalized size 1 1. 1.36 4.47 0. 0. 0. 0.
time (sec) N/A 0.07 0.799 0.444 0. 0. 0. 0.


















Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 125 218 0 0 0 0
normalized size 1 1. 1.1 1.91 0. 0. 0. 0.
time (sec) N/A 0.093 0.488 0.336 0. 0. 0. 0.


















Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 134 376 0 0 0 0
normalized size 1 1. 1.18 3.3 0. 0. 0. 0.
time (sec) N/A 0.092 0.982 0.408 0. 0. 0. 0.


















Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 142 236 0 0 0 0
normalized size 1 1. 0.98 1.63 0. 0. 0. 0.
time (sec) N/A 0.109 0.721 0.397 0. 0. 0. 0.


















Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 183 183 302 384 0 0 0 0
normalized size 1 1. 1.65 2.1 0. 0. 0. 0.
time (sec) N/A 0.127 2.284 0.312 0. 0. 0. 0.


















Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 152 85 219 0 0 0 0
normalized size 1 1. 0.56 1.44 0. 0. 0. 0.
time (sec) N/A 0.109 0.487 0.279 0. 0. 0. 0.


















Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 152 123 374 0 0 0 0
normalized size 1 1. 0.81 2.46 0. 0. 0. 0.
time (sec) N/A 0.107 0.87 0.284 0. 0. 0. 0.


















Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 67 201 0 0 0 0
normalized size 1 1. 0.56 1.69 0. 0. 0. 0.
time (sec) N/A 0.089 0.302 0.248 0. 0. 0. 0.


















Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 80 1093 0 0 0 0
normalized size 1 1. 0.7 9.5 0. 0. 0. 0.
time (sec) N/A 0.089 0.474 0.239 0. 0. 0. 0.


















Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 101 173 0 0 0 0
normalized size 1 1. 1.12 1.92 0. 0. 0. 0.
time (sec) N/A 0.073 0.365 0.24 0. 0. 0. 0.


















Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 102 341 0 0 0 0
normalized size 1 1. 1.13 3.79 0. 0. 0. 0.
time (sec) N/A 0.075 0.496 0.228 0. 0. 0. 0.


















Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 112 208 0 0 0 0
normalized size 1 1. 0.97 1.79 0. 0. 0. 0.
time (sec) N/A 0.083 0.384 0.325 0. 0. 0. 0.


















Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 123 366 0 0 0 0
normalized size 1 1. 1.06 3.16 0. 0. 0. 0.
time (sec) N/A 0.084 1.267 0.386 0. 0. 0. 0.


















Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 134 234 0 0 0 0
normalized size 1 1. 0.89 1.56 0. 0. 0. 0.
time (sec) N/A 0.11 0.484 0.339 0. 0. 0. 0.


















Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 149 386 0 0 0 0
normalized size 1 1. 0.99 2.57 0. 0. 0. 0.
time (sec) N/A 0.109 2.022 0.723 0. 0. 0. 0.


















Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 181 181 151 252 0 0 0 0
normalized size 1 1. 0.83 1.39 0. 0. 0. 0.
time (sec) N/A 0.131 0.874 0.492 0. 0. 0. 0.


















Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 178 178 128 392 0 0 0 0
normalized size 1 1. 0.72 2.2 0. 0. 0. 0.
time (sec) N/A 0.17 1.541 0.323 0. 0. 0. 0.


















Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 141 74 213 0 0 0 0
normalized size 1 1. 0.52 1.51 0. 0. 0. 0.
time (sec) N/A 0.15 0.577 0.285 0. 0. 0. 0.


















Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 141 93 1562 0 0 0 0
normalized size 1 1. 0.66 11.08 0. 0. 0. 0.
time (sec) N/A 0.149 0.919 0.298 0. 0. 0. 0.


















Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 125 175 0 0 0 0
normalized size 1 1. 1.08 1.51 0. 0. 0. 0.
time (sec) N/A 0.134 0.383 0.272 0. 0. 0. 0.


















Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 117 1086 0 0 0 0
normalized size 1 1. 1.01 9.36 0. 0. 0. 0.
time (sec) N/A 0.132 0.576 0.243 0. 0. 0. 0.


















Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 104 199 0 0 0 0
normalized size 1 1. 0.79 1.51 0. 0. 0. 0.
time (sec) N/A 0.127 0.574 0.257 0. 0. 0. 0.


















Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 140 368 0 0 0 0
normalized size 1 1. 1.06 2.79 0. 0. 0. 0.
time (sec) N/A 0.129 0.743 0.299 0. 0. 0. 0.


















Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 152 129 236 0 0 0 0
normalized size 1 1. 0.85 1.55 0. 0. 0. 0.
time (sec) N/A 0.14 0.425 0.39 0. 0. 0. 0.


















Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 152 145 395 0 0 0 0
normalized size 1 1. 0.95 2.6 0. 0. 0. 0.
time (sec) N/A 0.145 1.322 0.394 0. 0. 0. 0.


















Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 186 186 151 261 0 0 0 0
normalized size 1 1. 0.81 1.4 0. 0. 0. 0.
time (sec) N/A 0.182 0.582 0.411 0. 0. 0. 0.


















Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 192 192 124 1628 0 0 0 0
normalized size 1 1. 0.65 8.48 0. 0. 0. 0.
time (sec) N/A 0.175 1.337 0.339 0. 0. 0. 0.


















Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 134 198 0 0 0 0
normalized size 1 1. 0.85 1.26 0. 0. 0. 0.
time (sec) N/A 0.155 0.5 0.3 0. 0. 0. 0.


















Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 106 3582 0 0 0 0
normalized size 1 1. 0.65 21.98 0. 0. 0. 0.
time (sec) N/A 0.154 0.564 0.335 0. 0. 0. 0.


















Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 137 200 0 0 0 0
normalized size 1 1. 1.04 1.52 0. 0. 0. 0.
time (sec) N/A 0.137 0.494 0.251 0. 0. 0. 0.


















Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 149 370 0 0 0 0
normalized size 1 1. 1.13 2.8 0. 0. 0. 0.
time (sec) N/A 0.138 0.74 0.269 0. 0. 0. 0.


















Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 144 216 0 0 0 0
normalized size 1 1. 0.88 1.33 0. 0. 0. 0.
time (sec) N/A 0.144 0.556 0.329 0. 0. 0. 0.


















Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 142 378 0 0 0 0
normalized size 1 1. 0.87 2.32 0. 0. 0. 0.
time (sec) N/A 0.146 1.428 0.381 0. 0. 0. 0.


















Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 191 191 137 252 0 0 0 0
normalized size 1 1. 0.72 1.32 0. 0. 0. 0.
time (sec) N/A 0.192 0.487 0.356 0. 0. 0. 0.


















Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 104 0 0 0 0 0
normalized size 1 1. 1.51 0. 0. 0. 0. 0.
time (sec) N/A 0.166 1.244 0.109 0. 0. 0. 0.


















Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 92 0 0 0 0 0
normalized size 1 1. 1.37 0. 0. 0. 0. 0.
time (sec) N/A 0.147 0.555 0.102 0. 0. 0. 0.


















Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 98 0 0 0 0 0
normalized size 1 1. 1.46 0. 0. 0. 0. 0.
time (sec) N/A 0.154 0.441 0.143 0. 0. 0. 0.


















Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 106 0 0 0 0 0
normalized size 1 1. 1.54 0. 0. 0. 0. 0.
time (sec) N/A 0.152 0.443 0.151 0. 0. 0. 0.


















Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 267 0 0 0 0 0
normalized size 1 1. 3.76 0. 0. 0. 0. 0.
time (sec) N/A 0.177 2.718 0.132 0. 0. 0. 0.


















Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 128 0 0 0 0 0
normalized size 1 1. 1.86 0. 0. 0. 0. 0.
time (sec) N/A 0.158 0.966 0.132 0. 0. 0. 0.


















Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 132 0 0 0 0 0
normalized size 1 1. 1.59 0. 0. 0. 0. 0.
time (sec) N/A 0.166 1.119 0.129 0. 0. 0. 0.


















Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 105 0 0 0 0 0
normalized size 1 1. 1.24 0. 0. 0. 0. 0.
time (sec) N/A 0.18 0.636 0.159 0. 0. 0. 0.


















Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 84 0 0 0 0 0
normalized size 1 1. 1.01 0. 0. 0. 0. 0.
time (sec) N/A 0.175 0.461 0.136 0. 0. 0. 0.


















Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 103 0 0 0 0 0
normalized size 1 1. 1.27 0. 0. 0. 0. 0.
time (sec) N/A 0.169 0.429 0.154 0. 0. 0. 0.


















Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 112 0 0 0 0 0
normalized size 1 1. 1.58 0. 0. 0. 0. 0.
time (sec) N/A 0.183 0.908 0.128 0. 0. 0. 0.


















Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 119 0 0 0 0 0
normalized size 1 1. 1.68 0. 0. 0. 0. 0.
time (sec) N/A 0.209 0.862 0.133 0. 0. 0. 0.


















Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 128 0 0 0 0 0
normalized size 1 1. 1.47 0. 0. 0. 0. 0.
time (sec) N/A 0.185 0.704 0.174 0. 0. 0. 0.


















Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 121 0 0 0 0 0
normalized size 1 1. 1.39 0. 0. 0. 0. 0.
time (sec) N/A 0.17 0.562 0.174 0. 0. 0. 0.


















Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 141 0 0 0 0 0
normalized size 1 1. 1.99 0. 0. 0. 0. 0.
time (sec) N/A 0.18 1.358 0.15 0. 0. 0. 0.


















Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 143 0 0 0 0 0
normalized size 1 1. 2.01 0. 0. 0. 0. 0.
time (sec) N/A 0.19 0.81 0.151 0. 0. 0. 0.


















Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 95 141 103 522 0 0
normalized size 1 1. 0.81 1.21 0.88 4.46 0. 0.
time (sec) N/A 0.075 0.819 2.026 0.98 2.376 0. 0.


















Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 77 114 78 392 0 0
normalized size 1 1. 0.88 1.3 0.89 4.45 0. 0.
time (sec) N/A 0.069 0.408 0.536 0.999 2.31 0. 0.


















Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 58 87 54 270 0 0
normalized size 1 1. 0.98 1.47 0.92 4.58 0. 0.
time (sec) N/A 0.062 0.267 0.34 0.948 2.328 0. 0.


















Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 34 24 28 132 0 0
normalized size 1 1. 1.17 0.83 0.97 4.55 0. 0.
time (sec) N/A 0.056 0.123 0.043 0.971 2.27 0. 0.


















Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 105 397 0 772 0 0
normalized size 1 1. 0.88 3.31 0. 6.43 0. 0.
time (sec) N/A 0.098 0.439 0.39 0. 2.698 0. 0.


















Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 193 193 133 741 0 868 0 0
normalized size 1 1. 0.69 3.84 0. 4.5 0. 0.
time (sec) N/A 0.112 0.37 0.355 0. 2.845 0. 0.


















Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 266 266 159 1085 0 973 0 0
normalized size 1 1. 0.6 4.08 0. 3.66 0. 0.
time (sec) N/A 0.142 0.609 0.427 0. 2.937 0. 0.


















Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 95 141 0 467 0 0
normalized size 1 1. 0.65 0.96 0. 3.18 0. 0.
time (sec) N/A 0.25 0.586 0.841 0. 2.31 0. 0.


















Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 77 114 0 342 0 0
normalized size 1 1. 0.7 1.04 0. 3.11 0. 0.
time (sec) N/A 0.178 0.37 0.385 0. 2.236 0. 0.


















Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 63 87 304 227 0 0
normalized size 1 1. 0.86 1.19 4.16 3.11 0. 0.
time (sec) N/A 0.107 0.218 0.317 116.376 2.34 0. 0.


















Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 39 50 0 66 0 0
normalized size 1 1. 1.26 1.61 0. 2.13 0. 0.
time (sec) N/A 0.028 0.144 0.242 0. 2.34 0. 0.


















Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 87 217 1045 690 0 0
normalized size 1 1. 1.05 2.61 12.59 8.31 0. 0.
time (sec) N/A 0.094 0.517 0.322 1.974 2.353 0. 0.


















Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 126 569 1261 813 0 0
normalized size 1 1. 0.82 3.69 8.19 5.28 0. 0.
time (sec) N/A 0.223 0.463 0.387 2.233 2.386 0. 0.


















Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 223 223 152 913 2990 906 0 0
normalized size 1 1. 0.68 4.09 13.41 4.06 0. 0.
time (sec) N/A 0.391 0.556 0.352 2.807 2.441 0. 0.


















Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 111 152 103 578 0 0
normalized size 1 1. 0.95 1.3 0.88 4.94 0. 0.
time (sec) N/A 0.089 1.126 5.216 1.041 2.594 0. 0.


















Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 93 125 78 446 0 0
normalized size 1 1. 1.06 1.42 0.89 5.07 0. 0.
time (sec) N/A 0.077 0.491 0.335 1.001 2.326 0. 0.


















Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 81 98 54 311 0 0
normalized size 1 1. 1.37 1.66 0.92 5.27 0. 0.
time (sec) N/A 0.069 0.474 0.289 1.029 2.351 0. 0.


















Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 69 24 28 170 0 0
normalized size 1 1. 2.38 0.83 0.97 5.86 0. 0.
time (sec) N/A 0.061 0.265 0.03 1.107 2.348 0. 0.


















Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 97 396 0 671 0 0
normalized size 1 1. 1.04 4.26 0. 7.22 0. 0.
time (sec) N/A 0.083 0.58 0.332 0. 2.366 0. 0.


















Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 166 166 143 742 0 856 0 0
normalized size 1 1. 0.86 4.47 0. 5.16 0. 0.
time (sec) N/A 0.106 0.73 0.313 0. 2.669 0. 0.


















Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 239 239 169 1086 0 959 0 0
normalized size 1 1. 0.71 4.54 0. 4.01 0. 0.
time (sec) N/A 0.134 0.982 0.365 0. 2.768 0. 0.


















Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 109 125 1345 437 0 0
normalized size 1 1. 0.74 0.85 9.15 2.97 0. 0.
time (sec) N/A 0.241 0.955 0.321 69.607 2.337 0. 0.


















Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 91 98 788 312 0 0
normalized size 1 1. 0.83 0.89 7.16 2.84 0. 0.
time (sec) N/A 0.177 0.415 0.286 3.53 2.211 0. 0.


















Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 57 71 0 194 0 0
normalized size 1 1. 0.83 1.03 0. 2.81 0. 0.
time (sec) N/A 0.064 0.249 0.237 0. 2.308 0. 0.


















Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 31 42 271 105 0 0
normalized size 1 1. 1. 1.35 8.74 3.39 0. 0.
time (sec) N/A 0.049 0.136 0.259 1.876 2.209 0. 0.


















Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 101 570 1192 764 0 0
normalized size 1 1. 0.83 4.67 9.77 6.26 0. 0.
time (sec) N/A 0.149 0.882 0.36 2.216 2.372 0. 0.


















Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 192 192 160 914 0 892 0 0
normalized size 1 1. 0.83 4.76 0. 4.65 0. 0.
time (sec) N/A 0.27 1.377 0.313 0. 2.397 0. 0.


















Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 113 171 103 635 0 0
normalized size 1 1. 0.97 1.46 0.88 5.43 0. 0.
time (sec) N/A 0.086 1.416 15.969 1.111 2.524 0. 0.


















Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 97 144 78 497 0 0
normalized size 1 1. 1.1 1.64 0.89 5.65 0. 0.
time (sec) N/A 0.077 0.745 0.581 1.096 2.612 0. 0.


















Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 85 117 54 360 0 0
normalized size 1 1. 1.44 1.98 0.92 6.1 0. 0.
time (sec) N/A 0.071 0.532 0.327 1.077 2.612 0. 0.


















Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 73 24 28 209 0 0
normalized size 1 1. 2.52 0.83 0.97 7.21 0. 0.
time (sec) N/A 0.063 0.314 0.032 1.127 2.615 0. 0.


















Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 116 398 0 693 0 0
normalized size 1 1. 1.3 4.47 0. 7.79 0. 0.
time (sec) N/A 0.083 0.597 0.332 0. 2.494 0. 0.


















Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 116 744 0 761 0 0
normalized size 1 1. 0.85 5.43 0. 5.55 0. 0.
time (sec) N/A 0.095 0.704 0.336 0. 2.479 0. 0.


















Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 210 210 142 1088 0 936 0 0
normalized size 1 1. 0.68 5.18 0. 4.46 0. 0.
time (sec) N/A 0.12 0.825 0.402 0. 3.177 0. 0.


















Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 103 117 0 402 0 0
normalized size 1 1. 0.7 0.8 0. 2.73 0. 0.
time (sec) N/A 0.24 0.68 0.293 0. 2.486 0. 0.


















Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 93 90 0 282 0 0
normalized size 1 1. 0.89 0.87 0. 2.71 0. 0.
time (sec) N/A 0.101 0.314 0.247 0. 2.034 0. 0.


















Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 46 53 447 116 0 0
normalized size 1 1. 0.71 0.82 6.88 1.78 0. 0.
time (sec) N/A 0.097 0.253 0.279 1.94 1.97 0. 0.


















Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 69 63 443 157 0 0
normalized size 1 1. 1.97 1.8 12.66 4.49 0. 0.
time (sec) N/A 0.06 0.323 0.293 2.145 2.049 0. 0.


















Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 159 159 118 916 1451 840 0 0
normalized size 1 1. 0.74 5.76 9.13 5.28 0. 0.
time (sec) N/A 0.218 1.011 0.324 2.299 2.225 0. 0.


















Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 231 231 155 1260 0 971 0 0
normalized size 1 1. 0.67 5.45 0. 4.2 0. 0.
time (sec) N/A 0.339 1.047 0.484 0. 2.046 0. 0.


















Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 113 181 103 682 0 0
normalized size 1 1. 0.97 1.55 0.88 5.83 0. 0.
time (sec) N/A 0.084 1.699 47.629 1.109 2.328 0. 0.


















Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 97 154 78 537 0 0
normalized size 1 1. 1.1 1.75 0.89 6.1 0. 0.
time (sec) N/A 0.077 0.858 0.628 1.12 2.06 0. 0.


















Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 85 127 54 405 0 0
normalized size 1 1. 1.44 2.15 0.92 6.86 0. 0.
time (sec) N/A 0.068 0.591 0.365 1.093 1.98 0. 0.


















Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 73 24 28 244 0 0
normalized size 1 1. 2.52 0.83 0.97 8.41 0. 0.
time (sec) N/A 0.062 0.339 0.03 1.185 2.147 0. 0.


















Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 137 412 0 709 0 0
normalized size 1 1. 1.18 3.55 0. 6.11 0. 0.
time (sec) N/A 0.088 1.243 0.374 0. 2.152 0. 0.


















Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 152 742 0 737 0 0
normalized size 1 1. 1.11 5.42 0. 5.38 0. 0.
time (sec) N/A 0.094 1.347 0.344 0. 2.275 0. 0.


















Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 181 181 129 1088 0 813 0 0
normalized size 1 1. 0.71 6.01 0. 4.49 0. 0.
time (sec) N/A 0.108 1.004 0.402 0. 2.245 0. 0.


















Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 109 100 0 363 0 0
normalized size 1 1. 0.78 0.72 0. 2.61 0. 0.
time (sec) N/A 0.14 0.642 0.253 0. 2.042 0. 0.


















Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 59 73 564 244 0 0
normalized size 1 1. 0.57 0.7 5.42 2.35 0. 0.
time (sec) N/A 0.153 0.357 0.283 2.059 1.978 0. 0.


















Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 86 71 680 157 0 0
normalized size 1 1. 1.21 1. 9.58 2.21 0. 0.
time (sec) N/A 0.122 0.347 0.278 2.179 1.942 0. 0.


















Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 73 73 613 198 0 0
normalized size 1 1. 2.09 2.09 17.51 5.66 0. 0.
time (sec) N/A 0.059 0.515 0.349 2.143 2.228 0. 0.


















Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 196 196 131 1260 1688 891 0 0
normalized size 1 1. 0.67 6.43 8.61 4.55 0. 0.
time (sec) N/A 0.287 1.782 0.422 2.465 2.265 0. 0.


















Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 268 268 188 1604 0 1034 0 0
normalized size 1 1. 0.7 5.99 0. 3.86 0. 0.
time (sec) N/A 0.411 3.205 0.615 0. 2.251 0. 0.


















Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 342 342 194 1948 0 1149 0 0
normalized size 1 1. 0.57 5.7 0. 3.36 0. 0.
time (sec) N/A 0.565 6.327 0.816 0. 2.269 0. 0.


















Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 95 127 401 498 0 0
normalized size 1 1. 0.81 1.09 3.43 4.26 0. 0.
time (sec) N/A 0.08 0.467 0.583 1.124 2.094 0. 0.


















Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 77 100 228 362 0 0
normalized size 1 1. 0.88 1.14 2.59 4.11 0. 0.
time (sec) N/A 0.072 0.28 0.375 1.134 2.218 0. 0.


















Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 65 73 107 242 0 0
normalized size 1 1. 1.1 1.24 1.81 4.1 0. 0.
time (sec) N/A 0.064 0.175 0.319 1.096 1.913 0. 0.


















Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 32 24 28 95 0 53
normalized size 1 1. 1.19 0.89 1.04 3.52 0. 1.96
time (sec) N/A 0.057 0.144 0.043 1.058 1.923 0. 1.677


















Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 146 146 126 341 0 837 0 0
normalized size 1 1. 0.86 2.34 0. 5.73 0. 0.
time (sec) N/A 0.098 0.477 0.334 0. 2.469 0. 0.


















Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 219 219 152 368 0 922 0 0
normalized size 1 1. 0.69 1.68 0. 4.21 0. 0.
time (sec) N/A 0.124 0.627 0.361 0. 2.577 0. 0.


















Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 292 292 178 395 0 1031 0 0
normalized size 1 1. 0.61 1.35 0. 3.53 0. 0.
time (sec) N/A 0.153 0.959 0.506 0. 3.04 0. 0.


















Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 95 154 821 529 0 0
normalized size 1 1. 0.65 1.05 5.59 3.6 0. 0.
time (sec) N/A 0.258 0.501 1.273 2.055 2.109 0. 0.


















Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 77 127 640 398 0 0
normalized size 1 1. 0.7 1.15 5.82 3.62 0. 0.
time (sec) N/A 0.187 0.379 0.388 1.901 2.026 0. 0.


















Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 65 100 459 274 0 0
normalized size 1 1. 0.89 1.37 6.29 3.75 0. 0.
time (sec) N/A 0.118 0.214 0.322 1.643 2.108 0. 0.


















Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 40 73 278 153 0 0
normalized size 1 1. 1.14 2.09 7.94 4.37 0. 0.
time (sec) N/A 0.054 0.12 0.298 1.535 1.999 0. 0.


















Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 70 137 0 502 0 0
normalized size 1 1. 1.35 2.63 0. 9.65 0. 0.
time (sec) N/A 0.041 0.335 0.255 0. 2.2 0. 0.


















Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 96 319 1130 778 0 0
normalized size 1 1. 0.79 2.61 9.26 6.38 0. 0.
time (sec) N/A 0.134 0.455 0.325 2.178 2.146 0. 0.


















Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 193 193 117 346 2618 865 0 0
normalized size 1 1. 0.61 1.79 13.56 4.48 0. 0.
time (sec) N/A 0.266 0.528 0.329 2.634 2.034 0. 0.


















Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 110 117 103 468 0 0
normalized size 1 1. 0.94 1. 0.88 4. 0. 0.
time (sec) N/A 0.087 0.669 0.318 1.102 2.065 0. 0.


















Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 92 90 78 332 0 0
normalized size 1 1. 1.05 1.02 0.89 3.77 0. 0.
time (sec) N/A 0.079 0.285 0.279 1.085 2.235 0. 0.


















Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 80 61 51 180 0 0
normalized size 1 1. 1.4 1.07 0.89 3.16 0. 0.
time (sec) N/A 0.072 0.191 0.262 1.053 2.072 0. 0.


















Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 27 24 28 130 0 0
normalized size 1 1. 1. 0.89 1.04 4.81 0. 0.
time (sec) N/A 0.065 0.143 0.032 1.093 2.13 0. 0.


















Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 142 368 0 906 0 0
normalized size 1 1. 0.81 2.1 0. 5.18 0. 0.
time (sec) N/A 0.118 0.78 0.276 0. 2.493 0. 0.


















Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 248 248 168 395 0 999 0 0
normalized size 1 1. 0.68 1.59 0. 4.03 0. 0.
time (sec) N/A 0.144 1.115 0.398 0. 2.738 0. 0.


















Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 321 321 203 422 0 1106 0 0
normalized size 1 1. 0.63 1.31 0. 3.45 0. 0.
time (sec) N/A 0.18 1.769 0.648 0. 3.264 0. 0.


















Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 108 171 1031 598 0 0
normalized size 1 1. 0.73 1.16 7.01 4.07 0. 0.
time (sec) N/A 0.262 0.77 3.044 2.405 2.099 0. 0.


















Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 92 144 845 463 0 0
normalized size 1 1. 0.84 1.31 7.68 4.21 0. 0.
time (sec) N/A 0.191 0.405 0.342 2.369 2.31 0. 0.


















Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 80 117 659 325 0 0
normalized size 1 1. 1.1 1.6 9.03 4.45 0. 0.
time (sec) N/A 0.129 0.275 0.295 1.723 2.084 0. 0.


















Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 59 90 473 198 0 0
normalized size 1 1. 1.69 2.57 13.51 5.66 0. 0.
time (sec) N/A 0.062 0.192 0.267 1.506 2.151 0. 0.


















Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 101 158 1099 690 0 0
normalized size 1 1. 1.17 1.84 12.78 8.02 0. 0.
time (sec) N/A 0.102 0.722 0.238 2.025 2.107 0. 0.


















Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 95 318 0 760 0 0
normalized size 1 1. 1.09 3.66 0. 8.74 0. 0.
time (sec) N/A 0.075 0.605 0.258 0. 2.138 0. 0.


















Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 120 346 2457 845 0 0
normalized size 1 1. 0.76 2.2 15.65 5.38 0. 0.
time (sec) N/A 0.192 0.979 0.246 2.162 2.083 0. 0.


















Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 233 233 145 373 3553 934 0 0
normalized size 1 1. 0.62 1.6 15.25 4.01 0. 0.
time (sec) N/A 0.337 1.52 0.301 2.444 2.235 0. 0.


















Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 146 146 116 127 127 566 0 0
normalized size 1 1. 0.79 0.87 0.87 3.88 0. 0.
time (sec) N/A 0.093 0.693 0.349 0.979 2.279 0. 0.


















Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 108 100 103 414 0 0
normalized size 1 1. 0.92 0.85 0.88 3.54 0. 0.
time (sec) N/A 0.086 0.494 0.3 1.189 2.218 0. 0.


















Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 94 73 78 262 0 0
normalized size 1 1. 1.09 0.85 0.91 3.05 0. 0.
time (sec) N/A 0.079 0.263 0.273 1.069 2.117 0. 0.


















Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 36 65 59 135 0 0
normalized size 1 1. 0.65 1.18 1.07 2.45 0. 0.
time (sec) N/A 0.07 0.254 0.266 1.113 2.145 0. 0.


















Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 39 24 28 176 0 0
normalized size 1 1. 1.34 0.83 0.97 6.07 0. 0.
time (sec) N/A 0.063 0.214 0.03 1.086 2.16 0. 0.


















Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 204 204 163 395 0 949 0 0
normalized size 1 1. 0.8 1.94 0. 4.65 0. 0.
time (sec) N/A 0.127 1.004 0.302 0. 2.536 0. 0.


















Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 277 277 189 422 0 1064 0 0
normalized size 1 1. 0.68 1.52 0. 3.84 0. 0.
time (sec) N/A 0.157 1.464 0.452 0. 2.852 0. 0.


















Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 112 181 1218 649 0 0
normalized size 1 1. 0.76 1.23 8.29 4.41 0. 0.
time (sec) N/A 0.265 0.953 15.287 2.873 2.247 0. 0.


















Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 94 154 1031 509 0 0
normalized size 1 1. 0.85 1.4 9.37 4.63 0. 0.
time (sec) N/A 0.193 0.592 0.819 2.5 2.218 0. 0.


















Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 80 127 845 373 0 0
normalized size 1 1. 1.1 1.74 11.58 5.11 0. 0.
time (sec) N/A 0.126 0.434 0.416 2.176 2.07 0. 0.


















Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 57 100 659 240 0 0
normalized size 1 1. 1.63 2.86 18.83 6.86 0. 0.
time (sec) N/A 0.063 0.256 0.284 1.715 2.077 0. 0.


















Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 82 281 1445 872 0 0
normalized size 1 1. 0.67 2.28 11.75 7.09 0. 0.
time (sec) N/A 0.17 0.728 0.285 2.177 2.161 0. 0.


















Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 149 443 1115 761 0 0
normalized size 1 1. 1.73 5.15 12.97 8.85 0. 0.
time (sec) N/A 0.144 0.976 0.282 1.997 1.997 0. 0.


















Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 121 346 0 807 0 0
normalized size 1 1. 0.99 2.84 0. 6.61 0. 0.
time (sec) N/A 0.115 0.752 0.283 0. 2.118 0. 0.


















Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 192 192 143 373 3101 892 0 0
normalized size 1 1. 0.74 1.94 16.15 4.65 0. 0.
time (sec) N/A 0.259 1.167 0.276 2.224 2.113 0. 0.


















Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 270 270 165 400 5107 988 0 0
normalized size 1 1. 0.61 1.48 18.91 3.66 0. 0.
time (sec) N/A 0.422 1.191 0.343 2.623 2.125 0. 0.


















Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 146 146 114 117 127 513 0 0
normalized size 1 1. 0.78 0.8 0.87 3.51 0. 0.
time (sec) N/A 0.093 0.853 0.317 0.994 2.153 0. 0.


















Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 110 90 103 343 0 0
normalized size 1 1. 0.97 0.8 0.91 3.04 0. 0.
time (sec) N/A 0.086 0.44 0.282 0.981 2.158 0. 0.


















Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 61 88 84 243 0 0
normalized size 1 1. 0.73 1.05 1. 2.89 0. 0.
time (sec) N/A 0.08 0.296 0.28 0.978 2.162 0. 0.


















Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 80 88 43 177 0 0
normalized size 1 1. 1.4 1.54 0.75 3.11 0. 0.
time (sec) N/A 0.074 0.205 0.271 0.977 2.05 0. 0.


















Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 39 24 28 212 0 0
normalized size 1 1. 1.34 0.83 0.97 7.31 0. 0.
time (sec) N/A 0.064 0.253 0.034 0.974 2.153 0. 0.


















Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 233 233 176 422 0 1010 0 0
normalized size 1 1. 0.76 1.81 0. 4.33 0. 0.
time (sec) N/A 0.142 1.517 0.365 0. 2.749 0. 0.


















Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 306 306 202 449 0 1106 0 0
normalized size 1 1. 0.66 1.47 0. 3.61 0. 0.
time (sec) N/A 0.177 2.148 0.706 0. 2.854 0. 0.


















Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 92 171 1218 555 0 0
normalized size 1 1. 0.84 1.55 11.07 5.05 0. 0.
time (sec) N/A 0.194 0.66 0.629 2.556 2.349 0. 0.


















Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 82 144 1031 420 0 0
normalized size 1 1. 1.12 1.97 14.12 5.75 0. 0.
time (sec) N/A 0.127 0.418 0.37 2.174 2.084 0. 0.


















Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 59 115 845 281 0 0
normalized size 1 1. 1.69 3.29 24.14 8.03 0. 0.
time (sec) N/A 0.062 0.291 0.303 1.929 2.1 0. 0.


















Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 160 160 130 399 1574 1052 0 0
normalized size 1 1. 0.81 2.49 9.84 6.58 0. 0.
time (sec) N/A 0.251 1.118 0.302 2.35 2.253 0. 0.


















Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 126 318 0 756 0 0
normalized size 1 1. 1.04 2.63 0. 6.25 0. 0.
time (sec) N/A 0.217 0.767 0.279 0. 2.117 0. 0.


















Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 120 345 1318 801 0 0
normalized size 1 1. 0.96 2.76 10.54 6.41 0. 0.
time (sec) N/A 0.188 0.882 0.313 2.057 2.085 0. 0.


















Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 119 373 0 851 0 0
normalized size 1 1. 0.76 2.38 0. 5.42 0. 0.
time (sec) N/A 0.165 1.363 0.236 0. 1.991 0. 0.


















Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 227 227 141 400 3754 940 0 0
normalized size 1 1. 0.62 1.76 16.54 4.14 0. 0.
time (sec) N/A 0.375 1.944 0.303 2.251 2.121 0. 0.


















Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 307 307 175 427 7834 1054 0 0
normalized size 1 1. 0.57 1.39 25.52 3.43 0. 0.
time (sec) N/A 0.52 2.158 0.452 2.808 2.163 0. 0.


















Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 524 524 373 309 2531 1427 0 0
normalized size 1 1. 0.71 0.59 4.83 2.72 0. 0.
time (sec) N/A 0.445 1.798 0.391 2.304 2.212 0. 0.


















Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 323 323 289 225 1890 1172 0 0
normalized size 1 1. 0.89 0.7 5.85 3.63 0. 0.
time (sec) N/A 0.191 0.931 0.369 2.209 2.245 0. 0.


















Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 36 56 103 176 0 0
normalized size 1 1. 1. 1.56 2.86 4.89 0. 0.
time (sec) N/A 0.061 0.044 0.322 1.616 1.864 0. 0.


















Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 48 75 73 220 0 0
normalized size 1 1. 0.59 0.93 0.9 2.72 0. 0.
time (sec) N/A 0.132 0.168 0.333 1.884 1.937 0. 0.


















Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 63 85 176 262 0 0
normalized size 1 1. 0.52 0.7 1.44 2.15 0. 0.
time (sec) N/A 0.197 0.186 0.35 1.942 2.093 0. 0.


















Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 164 164 80 102 240 301 0 0
normalized size 1 1. 0.49 0.62 1.46 1.84 0. 0.
time (sec) N/A 0.283 0.219 0.378 1.95 2.096 0. 0.


















Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 453 453 358 414 4070 1989 0 0
normalized size 1 1. 0.79 0.91 8.98 4.39 0. 0.
time (sec) N/A 0.506 3.335 0.325 2.989 2.273 0. 0.


















Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 571 571 395 363 3213 1808 0 0
normalized size 1 1. 0.69 0.64 5.63 3.17 0. 0.
time (sec) N/A 0.543 21.077 0.337 2.554 2.308 0. 0.


















Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 364 364 348 304 2539 1376 0 0
normalized size 1 1. 0.96 0.84 6.98 3.78 0. 0.
time (sec) N/A 0.315 1.745 0.336 2.35 2.136 0. 0.


















Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 520 520 354 286 1974 1543 0 0
normalized size 1 1. 0.68 0.55 3.8 2.97 0. 0.
time (sec) N/A 0.434 0.669 0.293 2.152 2.186 0. 0.


















Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 38 76 103 186 0 0
normalized size 1 1. 1. 2. 2.71 4.89 0. 0.
time (sec) N/A 0.091 0.062 0.288 1.662 2.028 0. 0.


















Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 84 86 80 227 0 0
normalized size 1 1. 1.04 1.06 0.99 2.8 0. 0.
time (sec) N/A 0.158 0.365 0.296 1.889 2.112 0. 0.


















Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 98 103 113 273 0 0
normalized size 1 1. 0.78 0.82 0.9 2.18 0. 0.
time (sec) N/A 0.23 0.427 0.303 1.925 1.989 0. 0.


















Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 167 167 113 113 216 317 0 0
normalized size 1 1. 0.68 0.68 1.29 1.9 0. 0.
time (sec) N/A 0.286 0.552 0.372 1.949 2.167 0. 0.


















Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 612 612 417 424 4074 2105 0 0
normalized size 1 1. 0.68 0.69 6.66 3.44 0. 0.
time (sec) N/A 0.69 20.564 0.294 3.391 2.299 0. 0.


















Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 411 411 397 371 3291 1701 0 0
normalized size 1 1. 0.97 0.9 8.01 4.14 0. 0.
time (sec) N/A 0.453 2.569 0.359 2.755 2.362 0. 0.


















Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 563 563 367 347 2720 1615 0 0
normalized size 1 1. 0.65 0.62 4.83 2.87 0. 0.
time (sec) N/A 0.575 1.932 0.345 2.48 2.358 0. 0.


















Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 362 362 355 323 2014 1539 0 0
normalized size 1 1. 0.98 0.89 5.56 4.25 0. 0.
time (sec) N/A 0.33 2.415 0.331 2.434 2.27 0. 0.


















Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 38 88 103 213 0 0
normalized size 1 1. 1. 2.32 2.71 5.61 0. 0.
time (sec) N/A 0.075 0.081 0.294 1.801 2.469 0. 0.


















Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 92 105 127 240 0 0
normalized size 1 1. 1.14 1.3 1.57 2.96 0. 0.
time (sec) N/A 0.154 0.398 0.305 2.074 2.328 0. 0.


















Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 104 115 130 284 0 0
normalized size 1 1. 0.83 0.92 1.04 2.27 0. 0.
time (sec) N/A 0.222 0.459 0.329 2.193 2.301 0. 0.


















Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 169 169 121 132 167 288 0 0
normalized size 1 1. 0.72 0.78 0.99 1.7 0. 0.
time (sec) N/A 0.312 0.646 0.477 1.917 2.342 0. 0.


















Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 369 369 366 316 3069 1420 0 0
normalized size 1 1. 0.99 0.86 8.32 3.85 0. 0.
time (sec) N/A 0.308 1.851 0.35 2.266 2.291 0. 0.


















Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 483 483 302 237 980 1239 0 0
normalized size 1 1. 0.63 0.49 2.03 2.57 0. 0.
time (sec) N/A 0.353 1.103 0.333 2.049 2.162 0. 0.


















Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 36 74 103 176 0 0
normalized size 1 1. 1. 2.06 2.86 4.89 0. 0.
time (sec) N/A 0.068 0.05 0.308 1.603 1.965 0. 0.


















Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 48 85 108 220 0 0
normalized size 1 1. 0.6 1.06 1.35 2.75 0. 0.
time (sec) N/A 0.138 0.101 0.319 1.876 2.028 0. 0.


















Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 68 105 176 265 0 0
normalized size 1 1. 0.56 0.87 1.45 2.19 0. 0.
time (sec) N/A 0.22 0.25 0.319 1.933 2.064 0. 0.


















Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 79 115 240 304 0 0
normalized size 1 1. 0.48 0.7 1.45 1.84 0. 0.
time (sec) N/A 0.291 0.339 0.332 1.97 2.082 0. 0.


















Problem 422 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 206 206 87 132 305 354 0 0
normalized size 1 1. 0.42 0.64 1.48 1.72 0. 0.
time (sec) N/A 0.387 0.367 0.352 2.023 2.195 0. 0.


















Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 529 529 405 1022 2456 1602 0 0
normalized size 1 1. 0.77 1.93 4.64 3.03 0. 0.
time (sec) N/A 0.567 15.992 0.311 2.225 2.289 0. 0.


















Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 365 365 350 957 1050 1663 0 0
normalized size 1 1. 0.96 2.62 2.88 4.56 0. 0.
time (sec) N/A 0.316 2.683 0.337 2.112 2.295 0. 0.


















Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 38 87 103 186 0 0
normalized size 1 1. 1. 2.29 2.71 4.89 0. 0.
time (sec) N/A 0.076 0.069 0.275 1.636 2.045 0. 0.


















Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 63 101 108 219 0 0
normalized size 1 1. 0.79 1.26 1.35 2.74 0. 0.
time (sec) N/A 0.145 0.12 0.308 1.918 2.103 0. 0.


















Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 83 106 176 265 0 0
normalized size 1 1. 0.69 0.88 1.45 2.19 0. 0.
time (sec) N/A 0.209 0.288 0.308 1.937 2.049 0. 0.


















Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 100 132 240 309 0 0
normalized size 1 1. 0.61 0.8 1.45 1.87 0. 0.
time (sec) N/A 0.306 0.438 0.304 1.973 1.981 0. 0.


















Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 209 209 100 142 305 358 0 0
normalized size 1 1. 0.48 0.68 1.46 1.71 0. 0.
time (sec) N/A 0.393 0.471 0.312 2.037 2.05 0. 0.


















Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 411 411 369 1439 3312 1704 0 0
normalized size 1 1. 0.9 3.5 8.06 4.15 0. 0.
time (sec) N/A 0.434 5.437 0.346 2.253 2.514 0. 0.


















Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 527 527 422 1324 1979 1663 0 0
normalized size 1 1. 0.8 2.51 3.76 3.16 0. 0.
time (sec) N/A 0.454 11.63 0.303 2.269 2.406 0. 0.


















Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 38 105 103 192 0 0
normalized size 1 1. 1. 2.76 2.71 5.05 0. 0.
time (sec) N/A 0.078 0.22 0.281 1.619 2.09 0. 0.


















Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 63 112 116 232 0 0
normalized size 1 1. 0.79 1.4 1.45 2.9 0. 0.
time (sec) N/A 0.166 0.199 0.291 1.902 2.016 0. 0.


















Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 85 128 176 262 0 0
normalized size 1 1. 0.7 1.06 1.45 2.17 0. 0.
time (sec) N/A 0.22 0.306 0.313 1.89 1.878 0. 0.


















Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 162 162 102 140 240 271 0 0
normalized size 1 1. 0.63 0.86 1.48 1.67 0. 0.
time (sec) N/A 0.301 0.4 0.32 1.942 2.126 0. 0.


















Problem 436 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 206 206 107 159 305 360 0 0
normalized size 1 1. 0.52 0.77 1.48 1.75 0. 0.
time (sec) N/A 0.399 0.548 0.315 2.052 2.166 0. 0.


















Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 118 0 0 0 0 0
normalized size 1 1. 1.37 0. 0. 0. 0. 0.
time (sec) N/A 0.211 0.663 0.331 0. 0. 0. 0.


















Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 116 0 0 0 0 0
normalized size 1 1. 1.35 0. 0. 0. 0. 0.
time (sec) N/A 0.199 0.55 0.33 0. 0. 0. 0.


















Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 116 0 0 0 0 0
normalized size 1 1. 1.36 0. 0. 0. 0. 0.
time (sec) N/A 0.19 0.429 0.448 0. 0. 0. 0.


















Problem 440 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 95 0 0 0 0 0
normalized size 1 1. 1.14 0. 0. 0. 0. 0.
time (sec) N/A 0.182 0.52 0.408 0. 0. 0. 0.


















Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 95 0 0 0 0 0
normalized size 1 1. 1.14 0. 0. 0. 0. 0.
time (sec) N/A 0.196 0.739 0.359 0. 0. 0. 0.


















Problem 442 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 112 0 0 0 0 0
normalized size 1 1. 1.27 0. 0. 0. 0. 0.
time (sec) N/A 0.21 0.655 0.322 0. 0. 0. 0.


















Problem 443 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 437 437 240 0 5268 1608 0 0
normalized size 1 1. 0.55 0. 12.05 3.68 0. 0.
time (sec) N/A 0.398 1.795 0.2 2.828 2.334 0. 0.


















Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 378 378 220 0 2572 1496 0 0
normalized size 1 1. 0.58 0. 6.8 3.96 0. 0.
time (sec) N/A 0.343 1.233 0.157 2.325 2.076 0. 0.


















Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 340 340 161 0 2367 1064 0 0
normalized size 1 1. 0.47 0. 6.96 3.13 0. 0.
time (sec) N/A 0.171 0.636 0.144 2.257 2.146 0. 0.


















Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 47 0 144 155 0 0
normalized size 1 1. 1.27 0. 3.89 4.19 0. 0.
time (sec) N/A 0.077 0.324 0.129 1.99 2.086 0. 0.


















Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 70 0 429 167 0 0
normalized size 1 1. 0.86 0. 5.3 2.06 0. 0.
time (sec) N/A 0.154 0.514 0.14 2.005 2.075 0. 0.


















Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 100 0 543 305 0 0
normalized size 1 1. 0.82 0. 4.45 2.5 0. 0.
time (sec) N/A 0.235 0.596 0.14 2.209 2.062 0. 0.


















Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 116 0 1319 389 0 0
normalized size 1 1. 0.71 0. 8.09 2.39 0. 0.
time (sec) N/A 0.321 1.11 0.141 2.263 2.197 0. 0.


















Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 86 86 151 0 0 0 0 0
normalized size 1 1. 1.76 0. 0. 0. 0. 0.
time (sec) N/A 0.149 3.204 0.474 0. 0. 0. 0.


















Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 86 86 154 0 0 0 0 0
normalized size 1 1. 1.79 0. 0. 0. 0. 0.
time (sec) N/A 0.148 1.356 0.497 0. 0. 0. 0.


















Problem 452 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 86 86 141 0 0 0 0 0
normalized size 1 1. 1.64 0. 0. 0. 0. 0.
time (sec) N/A 0.15 0.956 0.364 0. 0. 0. 0.


















Problem 453 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 82 82 130 0 0 0 0 0
normalized size 1 1. 1.59 0. 0. 0. 0. 0.
time (sec) N/A 0.126 0.609 0.477 0. 0. 0. 0.


















Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 86 86 150 0 0 0 0 0
normalized size 1 1. 1.74 0. 0. 0. 0. 0.
time (sec) N/A 0.154 0.608 0.79 0. 0. 0. 0.


















Problem 455 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 86 86 154 0 0 0 0 0
normalized size 1 1. 1.79 0. 0. 0. 0. 0.
time (sec) N/A 0.159 18.194 1.02 0. 0. 0. 0.


















Problem 456 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 86 86 151 0 0 0 0 0
normalized size 1 1. 1.76 0. 0. 0. 0. 0.
time (sec) N/A 0.158 11.833 1.264 0. 0. 0. 0.


















Problem 457 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 109 109 178 0 0 0 0 0
normalized size 1 1. 1.63 0. 0. 0. 0. 0.
time (sec) N/A 0.206 2.409 0.335 0. 0. 0. 0.


















Problem 458 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 109 109 163 0 0 0 0 0
normalized size 1 1. 1.5 0. 0. 0. 0. 0.
time (sec) N/A 0.198 1.652 0.316 0. 0. 0. 0.


















Problem 459 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 107 107 163 0 0 0 0 0
normalized size 1 1. 1.52 0. 0. 0. 0. 0.
time (sec) N/A 0.196 1.03 0.324 0. 0. 0. 0.


















Problem 460 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 107 107 162 0 0 0 0 0
normalized size 1 1. 1.51 0. 0. 0. 0. 0.
time (sec) N/A 0.179 0.658 0.403 0. 0. 0. 0.


















Problem 461 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 106 106 162 0 0 0 0 0
normalized size 1 1. 1.53 0. 0. 0. 0. 0.
time (sec) N/A 0.194 1.127 0.357 0. 0. 0. 0.


















Problem 462 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 109 109 178 0 0 0 0 0
normalized size 1 1. 1.63 0. 0. 0. 0. 0.
time (sec) N/A 0.209 1.583 0.337 0. 0. 0. 0.


















Problem 463 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 109 109 178 0 0 0 0 0
normalized size 1 1. 1.63 0. 0. 0. 0. 0.
time (sec) N/A 0.21 3.149 0.398 0. 0. 0. 0.


















Problem 464 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 105 105 159 0 0 0 0 0
normalized size 1 1. 1.51 0. 0. 0. 0. 0.
time (sec) N/A 0.146 8.787 0.73 0. 0. 0. 0.


















Problem 465 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 171 3316 0 686 0 0
normalized size 1 1. 1.76 34.19 0. 7.07 0. 0.
time (sec) N/A 0.07 14.105 0.577 0. 2.207 0. 0.


















Problem 466 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 143 1668 0 374 0 0
normalized size 1 1. 2.2 25.66 0. 5.75 0. 0.
time (sec) N/A 0.056 13.435 0.236 0. 2.176 0. 0.


















Problem 467 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 111 31 0 165 0 0
normalized size 1 1. 3.47 0.97 0. 5.16 0. 0.
time (sec) N/A 0.046 12.984 0.019 0. 2.007 0. 0.


















Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 56 56 141 0 0 0 0 0
normalized size 1 1. 2.52 0. 0. 0. 0. 0.
time (sec) N/A 0.057 13.187 1.096 0. 0. 0. 0.


















Problem 469 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 60 60 143 0 0 0 0 0
normalized size 1 1. 2.38 0. 0. 0. 0. 0.
time (sec) N/A 0.055 4.134 0.743 0. 0. 0. 0.


















Problem 470 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 60 60 143 0 0 0 0 0
normalized size 1 1. 2.38 0. 0. 0. 0. 0.
time (sec) N/A 0.054 5.486 0.801 0. 0. 0. 0.


















Problem 471 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 94 94 149 0 0 0 0 0
normalized size 1 1. 1.59 0. 0. 0. 0. 0.
time (sec) N/A 0.187 13.909 0.345 0. 0. 0. 0.


















Problem 472 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 92 92 149 0 0 0 0 0
normalized size 1 1. 1.62 0. 0. 0. 0. 0.
time (sec) N/A 0.182 13.218 0.607 0. 0. 0. 0.


















Problem 473 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 88 88 134 0 0 0 0 0
normalized size 1 1. 1.52 0. 0. 0. 0. 0.
time (sec) N/A 0.149 8.206 0.444 0. 0. 0. 0.


















Problem 474 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 85 85 136 0 0 0 0 0
normalized size 1 1. 1.6 0. 0. 0. 0. 0.
time (sec) N/A 0.166 12.841 0.858 0. 0. 0. 0.


















Problem 475 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 94 94 149 0 0 0 0 0
normalized size 1 1. 1.59 0. 0. 0. 0. 0.
time (sec) N/A 0.189 13.461 1.84 0. 0. 0. 0.


















Problem 476 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 94 94 149 0 0 0 0 0
normalized size 1 1. 1.59 0. 0. 0. 0. 0.
time (sec) N/A 0.193 6.018 0.734 0. 0. 0. 0.


















Problem 477 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 96 96 156 0 0 0 0 0
normalized size 1 1. 1.62 0. 0. 0. 0. 0.
time (sec) N/A 0.202 8.869 0.198 0. 0. 0. 0.


















Problem 478 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 96 96 156 0 0 0 0 0
normalized size 1 1. 1.62 0. 0. 0. 0. 0.
time (sec) N/A 0.199 8.711 0.181 0. 0. 0. 0.


















Problem 479 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 94 94 156 0 0 0 0 0
normalized size 1 1. 1.66 0. 0. 0. 0. 0.
time (sec) N/A 0.175 8.349 0.194 0. 0. 0. 0.


















Problem 480 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 91 91 129 0 0 0 0 0
normalized size 1 1. 1.42 0. 0. 0. 0. 0.
time (sec) N/A 0.178 9.535 0.199 0. 0. 0. 0.


















Problem 481 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 93 93 129 0 0 0 0 0
normalized size 1 1. 1.39 0. 0. 0. 0. 0.
time (sec) N/A 0.208 10.195 0.19 0. 0. 0. 0.


















Problem 482 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 98 98 147 0 0 0 0 0
normalized size 1 1. 1.5 0. 0. 0. 0. 0.
time (sec) N/A 0.21 10.413 0.181 0. 0. 0. 0.


















Problem 483 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 269 269 165 5866 583 844 0 0
normalized size 1 1. 0.61 21.81 2.17 3.14 0. 0.
time (sec) N/A 0.406 0.622 1.361 2.056 2.202 0. 0.


















Problem 484 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 205 205 119 4990 464 653 0 0
normalized size 1 1. 0.58 24.34 2.26 3.19 0. 0.
time (sec) N/A 0.305 0.615 1.178 1.904 2.134 0. 0.


















Problem 485 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 148 148 82 3376 235 406 0 0
normalized size 1 1. 0.55 22.81 1.59 2.74 0. 0.
time (sec) N/A 0.198 0.22 0.823 2.09 2.394 0. 0.


















Problem 486 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 58 2488 153 271 0 0
normalized size 1 1. 0.62 26.47 1.63 2.88 0. 0.
time (sec) N/A 0.116 0.189 0.87 1.99 2.414 0. 0.


















Problem 487 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 37 874 116 154 0 0
normalized size 1 1. 1. 23.62 3.14 4.16 0. 0.
time (sec) N/A 0.048 0.037 0.387 1.783 2.197 0. 0.


















Problem 488 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 87 0 0 0 0 0
normalized size 1 1. 0.74 0. 0. 0. 0. 0.
time (sec) N/A 0.218 4.44 0.971 0. 0. 0. 0.


















Problem 489 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 112 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.183 12.551 0.967 0. 0. 0. 0.


















Problem 490 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 116 0 0 0 0 0
normalized size 1 1. 0.96 0. 0. 0. 0. 0.
time (sec) N/A 0.235 11.064 0.886 0. 0. 0. 0.


















Problem 491 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 122 0 1434 419 0 0
normalized size 1 1. 0.78 0. 9.19 2.69 0. 0.
time (sec) N/A 0.226 2.127 0.758 12.563 2.079 0. 0.


















Problem 492 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 166 0 0 0 0 0
normalized size 1 1. 1.71 0. 0. 0. 0. 0.
time (sec) N/A 0.208 13.225 0.781 0. 0. 0. 0.


















Problem 493 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 91 0 802 317 0 0
normalized size 1 1. 0.93 0. 8.18 3.23 0. 0.
time (sec) N/A 0.132 1.18 0.746 3.264 1.967 0. 0.


















Problem 494 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 166 0 0 0 0 0
normalized size 1 1. 1.71 0. 0. 0. 0. 0.
time (sec) N/A 0.208 11.8 0.782 0. 0. 0. 0.


















Problem 495 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 59 0 293 240 0 0
normalized size 1 1. 1.28 0. 6.37 5.22 0. 0.
time (sec) N/A 0.056 0.603 0.782 2.266 1.886 0. 0.


















Problem 496 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 154 0 0 0 0 0
normalized size 1 1. 1.62 0. 0. 0. 0. 0.
time (sec) N/A 0.185 8.101 0.741 0. 0. 0. 0.


















Problem 497 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 146 0 0 0 0 0
normalized size 1 1. 2.25 0. 0. 0. 0. 0.
time (sec) N/A 0.078 1.654 0.487 0. 0. 0. 0.


















Problem 498 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 157 0 0 0 0 0
normalized size 1 1. 1.65 0. 0. 0. 0. 0.
time (sec) N/A 0.192 12.826 1.25 0. 0. 0. 0.


















Problem 499 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 151 0 0 0 0 0
normalized size 1 1. 2.04 0. 0. 0. 0. 0.
time (sec) N/A 0.149 13.051 1.239 0. 0. 0. 0.


















Problem 500 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 166 0 0 0 0 0
normalized size 1 1. 1.71 0. 0. 0. 0. 0.
time (sec) N/A 0.214 13.367 1.461 0. 0. 0. 0.


















Problem 501 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 165 0 0 0 0 0
normalized size 1 1. 2.5 0. 0. 0. 0. 0.
time (sec) N/A 0.189 118.315 1.473 0. 0. 0. 0.


















Problem 502 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 165 0 0 0 0 0
normalized size 1 1. 2.5 0. 0. 0. 0. 0.
time (sec) N/A 0.183 13.964 1.344 0. 0. 0. 0.


















Problem 503 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 150 0 0 0 0 0
normalized size 1 1. 2.38 0. 0. 0. 0. 0.
time (sec) N/A 0.074 1.055 0.486 0. 0. 0. 0.


















Problem 504 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 40 1294 185 236 0 0
normalized size 1 1. 1. 32.35 4.62 5.9 0. 0.
time (sec) N/A 0.057 0.411 0.596 2.472 1.905 0. 0.


















Problem 505 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 61 0 410 304 0 0
normalized size 1 1. 0.66 0. 4.46 3.3 0. 0.
time (sec) N/A 0.128 1.075 0.809 3.06 1.905 0. 0.


















Problem 506 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 148 148 129 0 833 401 0 0
normalized size 1 1. 0.87 0. 5.63 2.71 0. 0.
time (sec) N/A 0.211 1.841 0.862 10.37 1.935 0. 0.


















Problem 507 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 53 48 95 147 56 95
normalized size 1 1. 0.88 0.8 1.58 2.45 0.93 1.58
time (sec) N/A 0.037 0.161 0.042 1.476 1.832 5.741 1.265


















Problem 508 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 68 74 116 242 0 190
normalized size 1 1. 0.92 1. 1.57 3.27 0. 2.57
time (sec) N/A 0.046 0.199 0.039 1.524 1.916 0. 1.302


















Problem 509 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 41 38 65 116 44 65
normalized size 1 1. 0.93 0.86 1.48 2.64 1. 1.48
time (sec) N/A 0.032 0.082 0.037 1.583 1.883 3.364 1.212


















Problem 510 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 52 54 82 203 0 134
normalized size 1 1. 1. 1.04 1.58 3.9 0. 2.58
time (sec) N/A 0.035 0.016 0.039 1.522 1.964 0. 1.316


















Problem 511 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 28 25 27 81 34 34
normalized size 1 1. 1. 0.89 0.96 2.89 1.21 1.21
time (sec) N/A 0.028 0.013 0.035 1.504 1.761 2.194 1.287


















Problem 512 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 24 34 42 144 37 73
normalized size 1 1. 1. 1.42 1.75 6. 1.54 3.04
time (sec) N/A 0.015 0.009 0.011 1.304 1.815 3.832 1.274


















Problem 513 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 46 23 31 51 0 174
normalized size 1 1. 1.92 0.96 1.29 2.12 0. 7.25
time (sec) N/A 0.02 0.019 0.033 1.184 1.847 0. 1.245


















Problem 514 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 46 41 51 86 0 197
normalized size 1 1. 1.07 0.95 1.19 2. 0. 4.58
time (sec) N/A 0.028 0.054 0.042 2.348 1.841 0. 1.357


















Problem 515 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 44 36 47 90 0 0
normalized size 1 1. 1. 0.82 1.07 2.05 0. 0.
time (sec) N/A 0.032 0.012 0.046 1.755 1.765 0. 0.


















Problem 516 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 62 52 82 127 0 575
normalized size 1 1. 0.95 0.8 1.26 1.95 0. 8.85
time (sec) N/A 0.041 0.092 0.04 2.318 1.812 0. 1.528


















Problem 517 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 133 138 180 282 0 211
normalized size 1 1. 1.12 1.16 1.51 2.37 0. 1.77
time (sec) N/A 0.107 0.483 0.054 1.599 2.142 0. 1.338


















Problem 518 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 104 110 140 231 0 159
normalized size 1 1. 1.07 1.13 1.44 2.38 0. 1.64
time (sec) N/A 0.083 0.639 0.053 1.352 1.954 0. 1.392


















Problem 519 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 54 82 96 184 0 108
normalized size 1 1. 0.72 1.09 1.28 2.45 0. 1.44
time (sec) N/A 0.066 0.187 0.052 1.525 1.888 0. 1.32


















Problem 520 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 46 48 27 131 0 55
normalized size 1 1. 2.09 2.18 1.23 5.95 0. 2.5
time (sec) N/A 0.037 0.042 0.048 1.363 1.715 0. 1.364


















Problem 521 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 52 70 74 120 0 331
normalized size 1 1. 1.06 1.43 1.51 2.45 0. 6.76
time (sec) N/A 0.053 0.125 0.046 2.248 1.779 0. 1.472


















Problem 522 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 216 97 115 170 0 3086
normalized size 1 1. 2.45 1.1 1.31 1.93 0. 35.07
time (sec) N/A 0.078 2.915 0.054 2.446 1.81 0. 5.973


















Problem 523 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 131 235 297 397 0 590
normalized size 1 1. 0.8 1.44 1.82 2.44 0. 3.62
time (sec) N/A 0.132 0.786 0.053 1.298 2.046 0. 1.637


















Problem 524 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 104 189 243 343 0 463
normalized size 1 1. 0.79 1.44 1.85 2.62 0. 3.53
time (sec) N/A 0.115 0.505 0.052 1.415 1.935 0. 1.554


















Problem 525 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 120 143 174 289 0 336
normalized size 1 1. 1.21 1.44 1.76 2.92 0. 3.39
time (sec) N/A 0.099 0.059 0.054 1.422 2.043 0. 1.493


















Problem 526 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 67 98 111 234 0 165
normalized size 1 1. 1.03 1.51 1.71 3.6 0. 2.54
time (sec) N/A 0.052 0.039 0.021 1.367 1.79 0. 1.49


















Problem 527 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 84 63 81 155 0 1777
normalized size 1 1. 1.79 1.34 1.72 3.3 0. 37.81
time (sec) N/A 0.033 0.139 0.046 1.385 1.802 0. 1.943


















Problem 528 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 64 52 70 120 0 0
normalized size 1 1. 0.71 0.58 0.78 1.33 0. 0.
time (sec) N/A 0.095 0.456 0.056 1.431 1.861 0. 0.


















Problem 529 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 116 88 104 169 0 0
normalized size 1 1. 1.02 0.77 0.91 1.48 0. 0.
time (sec) N/A 0.102 0.21 0.055 1.365 1.905 0. 0.


















Problem 530 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 154 108 132 221 0 0
normalized size 1 1. 1.12 0.78 0.96 1.6 0. 0.
time (sec) N/A 0.107 0.426 0.057 1.522 1.934 0. 0.


















Problem 531 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 194 194 177 219 238 344 0 297
normalized size 1 1. 0.91 1.13 1.23 1.77 0. 1.53
time (sec) N/A 0.147 1.96 0.072 1.188 2.065 0. 1.863


















Problem 532 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 115 173 192 304 0 224
normalized size 1 1. 0.83 1.25 1.39 2.2 0. 1.62
time (sec) N/A 0.125 0.571 0.069 1.163 2.12 0. 1.769


















Problem 533 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 54 127 132 246 0 151
normalized size 1 1. 0.72 1.69 1.76 3.28 0. 2.01
time (sec) N/A 0.071 0.347 0.063 1.154 1.886 0. 1.756


















Problem 534 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 57 72 27 181 0 77
normalized size 1 1. 2.59 3.27 1.23 8.23 0. 3.5
time (sec) N/A 0.036 0.155 0.061 1.188 1.839 0. 1.827


















Problem 535 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 401 123 109 181 0 811
normalized size 1 1. 4.66 1.43 1.27 2.1 0. 9.43
time (sec) N/A 0.093 0.746 0.059 1.737 1.982 0. 1.912


















Problem 536 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 257 114 149 228 0 3370
normalized size 1 1. 3.06 1.36 1.77 2.71 0. 40.12
time (sec) N/A 0.069 3.519 0.071 1.778 1.86 0. 22.987


















Problem 537 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 159 177 637 328 281 410 0 628
normalized size 1 1.11 4.01 2.06 1.77 2.58 0. 3.95
time (sec) N/A 0.145 2.143 0.074 1.174 2.089 0. 1.892


















Problem 538 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 144 464 256 212 362 0 450
normalized size 1 1.14 3.68 2.03 1.68 2.87 0. 3.57
time (sec) N/A 0.13 1.273 0.068 1.068 1.945 0. 1.863


















Problem 539 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 109 293 187 150 304 0 231
normalized size 1 1.2 3.22 2.05 1.65 3.34 0. 2.54
time (sec) N/A 0.085 1.555 0.027 1.122 1.942 0. 1.837


















Problem 540 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 102 131 126 113 273 0 6400
normalized size 1 1.21 1.56 1.5 1.35 3.25 0. 76.19
time (sec) N/A 0.08 1.065 0.049 1.142 2.044 0. 6.002


















Problem 541 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 81 75 104 173 0 0
normalized size 1 1. 1.16 1.07 1.49 2.47 0. 0.
time (sec) N/A 0.069 0.356 0.055 1.122 1.753 0. 0.


















Problem 542 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 150 125 144 230 0 0
normalized size 1 1. 1.43 1.19 1.37 2.19 0. 0.
time (sec) N/A 0.095 0.691 0.065 1.14 1.776 0. 0.


















Problem 543 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 204 145 170 278 0 0
normalized size 1 1. 1.44 1.02 1.2 1.96 0. 0.
time (sec) N/A 0.152 1.054 0.069 1.158 1.985 0. 0.


















Problem 544 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 99 162 146 439 0 162
normalized size 1 1. 0.85 1.4 1.26 3.78 0. 1.4
time (sec) N/A 0.102 1.214 0.08 1.147 2.131 0. 1.738


















Problem 545 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 52 72 72 294 0 73
normalized size 1 1. 0.88 1.22 1.22 4.98 0. 1.24
time (sec) N/A 0.065 0.126 0.064 1.11 1.913 0. 1.506


















Problem 546 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 18 18 19 24 144 0 26
normalized size 1 1. 1. 1.06 1.33 8. 0. 1.44
time (sec) N/A 0.042 0.014 0.029 1.136 1.956 0. 1.829


















Problem 547 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B A A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 143 236 190 278 0 246
normalized size 1 1. 1.54 2.54 2.04 2.99 0. 2.65
time (sec) N/A 0.136 0.225 0.098 1.641 1.935 0. 1.609


















Problem 548 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 152 218 524 366 471 0 435
normalized size 1 1. 1.43 3.45 2.41 3.1 0. 2.86
time (sec) N/A 0.197 0.395 0.086 1.802 2.054 0. 1.46


















Problem 549 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 152 321 488 0 633 0 375
normalized size 1 1.09 2.29 3.49 0. 4.52 0. 2.68
time (sec) N/A 0.198 1.909 0.088 0. 2.958 0. 1.608


















Problem 550 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 109 174 0 471 0 184
normalized size 1 1. 1.38 2.2 0. 5.96 0. 2.33
time (sec) N/A 0.094 0.141 0.069 0. 2.11 0. 1.655


















Problem 551 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 45 43 0 312 0 100
normalized size 1 1. 0.98 0.93 0. 6.78 0. 2.17
time (sec) N/A 0.031 0.045 0.031 0. 1.921 0. 1.587


















Problem 552 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 79 90 0 436 0 159
normalized size 1 1. 0.88 1. 0. 4.84 0. 1.77
time (sec) N/A 0.101 0.306 0.08 0. 2.053 0. 1.529


















Problem 553 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 137 221 0 598 0 386
normalized size 1 1. 0.83 1.34 0. 3.62 0. 2.34
time (sec) N/A 0.194 1.349 0.082 0. 1.942 0. 1.541


















Problem 554 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 178 178 229 305 251 890 0 342
normalized size 1 1. 1.29 1.71 1.41 5. 0. 1.92
time (sec) N/A 0.152 2.419 0.106 1.135 2.556 0. 1.315


















Problem 555 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 122 174 155 656 0 201
normalized size 1 1. 1.05 1.5 1.34 5.66 0. 1.73
time (sec) N/A 0.097 2.77 0.098 1.134 2.296 0. 1.441


















Problem 556 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 51 78 81 440 0 96
normalized size 1 1. 0.84 1.28 1.33 7.21 0. 1.57
time (sec) N/A 0.066 0.061 0.083 1.068 2.002 0. 1.35


















Problem 557 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 32 21 27 132 0 27
normalized size 1 1. 1.6 1.05 1.35 6.6 0. 1.35
time (sec) N/A 0.039 0.044 0.043 1.129 1.768 0. 1.338


















Problem 558 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 152 304 292 381 614 0 338
normalized size 1 1. 2. 1.92 2.51 4.04 0. 2.22
time (sec) N/A 0.163 3.751 0.102 1.668 2.122 0. 1.43


















Problem 559 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 235 235 416 661 678 944 0 626
normalized size 1 1. 1.77 2.81 2.89 4.02 0. 2.66
time (sec) N/A 0.266 3.165 0.103 1.734 2.546 0. 1.386


















Problem 560 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 235 235 1152 989 0 1118 0 716
normalized size 1 1. 4.9 4.21 0. 4.76 0. 3.05
time (sec) N/A 0.268 6.179 0.129 0. 3.881 0. 1.648


















Problem 561 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 709 440 0 860 0 378
normalized size 1 1. 4.03 2.5 0. 4.89 0. 2.15
time (sec) N/A 0.168 6.122 0.111 0. 2.625 0. 1.644


















Problem 562 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 132 120 174 0 699 0 224
normalized size 1 1.45 1.32 1.91 0. 7.68 0. 2.46
time (sec) N/A 0.107 0.748 0.102 0. 2.319 0. 1.657


















Problem 563 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 105 78 118 0 502 0 186
normalized size 1 1.28 0.95 1.44 0. 6.12 0. 2.27
time (sec) N/A 0.073 0.356 0.048 0. 1.81 0. 1.433


















Problem 564 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 153 172 0 697 0 386
normalized size 1 1. 0.97 1.1 0. 4.44 0. 2.46
time (sec) N/A 0.127 0.529 0.098 0. 1.941 0. 1.498


















Problem 565 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 241 241 249 320 0 946 0 591
normalized size 1 1. 1.03 1.33 0. 3.93 0. 2.45
time (sec) N/A 0.258 1.169 0.116 0. 2.215 0. 1.613


















Problem 566 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 185 185 272 321 270 1076 0 328
normalized size 1 1. 1.47 1.74 1.46 5.82 0. 1.77
time (sec) N/A 0.156 1.331 0.128 1.035 2.538 0. 1.432


















Problem 567 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 140 184 173 814 0 189
normalized size 1 1. 1.16 1.52 1.43 6.73 0. 1.56
time (sec) N/A 0.102 3.109 0.124 1.177 2.134 0. 1.456


















Problem 568 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 57 84 105 647 0 84
normalized size 1 1. 0.83 1.22 1.52 9.38 0. 1.22
time (sec) N/A 0.073 0.177 0.116 1.148 2.264 0. 1.41


















Problem 569 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 58 21 27 313 0 27
normalized size 1 1. 2.64 0.95 1.23 14.23 0. 1.23
time (sec) N/A 0.043 0.174 0.051 1.193 2.164 0. 1.488


















Problem 570 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 202 202 458 453 618 1102 0 593
normalized size 1 1. 2.27 2.24 3.06 5.46 0. 2.94
time (sec) N/A 0.233 6.272 0.122 1.826 2.885 0. 1.267


















Problem 571 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 295 295 596 824 996 1497 0 792
normalized size 1 1. 2.02 2.79 3.38 5.07 0. 2.68
time (sec) N/A 0.349 6.248 0.13 1.816 2.871 0. 1.389


















Problem 572 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 239 239 688 1125 0 1299 0 689
normalized size 1 1. 2.88 4.71 0. 5.44 0. 2.88
time (sec) N/A 0.243 2.21 0.148 0. 3.121 0. 1.636


















Problem 573 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 148 189 396 611 0 1175 0 424
normalized size 1 1.28 2.68 4.13 0. 7.94 0. 2.86
time (sec) N/A 0.16 2.349 0.127 0. 2.531 0. 1.718


















Problem 574 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 118 132 191 0 679 0 298
normalized size 1 1.24 1.39 2.01 0. 7.15 0. 3.14
time (sec) N/A 0.092 0.293 0.118 0. 2.018 0. 1.911


















Problem 575 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 155 155 110 280 0 795 0 396
normalized size 1 1. 0.71 1.81 0. 5.13 0. 2.55
time (sec) N/A 0.114 0.894 0.069 0. 2.034 0. 2.249


















Problem 576 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 221 221 183 283 0 1073 0 539
normalized size 1 1. 0.83 1.28 0. 4.86 0. 2.44
time (sec) N/A 0.214 1.842 0.129 0. 2.304 0. 2.279


















Problem 577 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 310 310 371 457 0 1391 0 864
normalized size 1 1. 1.2 1.47 0. 4.49 0. 2.79
time (sec) N/A 0.385 1.833 0.155 0. 2.797 0. 2.2


















Problem 578 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 69 371 0 0 0 0
normalized size 1 1. 0.57 3.07 0. 0. 0. 0.
time (sec) N/A 0.093 0.619 0.327 0. 0. 0. 0.


















Problem 579 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 58 195 0 0 0 0
normalized size 1 1. 0.63 2.12 0. 0. 0. 0.
time (sec) N/A 0.069 0.408 0.214 0. 0. 0. 0.


















Problem 580 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 58 355 0 0 0 0
normalized size 1 1. 0.66 4.03 0. 0. 0. 0.
time (sec) N/A 0.069 0.288 0.211 0. 0. 0. 0.


















Problem 581 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 42 168 0 0 0 0
normalized size 1 1. 0.72 2.9 0. 0. 0. 0.
time (sec) N/A 0.047 0.193 0.25 0. 0. 0. 0.


















Problem 582 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 54 916 0 0 0 0
normalized size 1 1. 0.93 15.79 0. 0. 0. 0.
time (sec) N/A 0.049 0.274 0.258 0. 0. 0. 0.


















Problem 583 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 69 172 0 0 0 0
normalized size 1 1. 0.73 1.83 0. 0. 0. 0.
time (sec) N/A 0.069 0.195 0.197 0. 0. 0. 0.


















Problem 584 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 74 345 0 0 0 0
normalized size 1 1. 0.79 3.67 0. 0. 0. 0.
time (sec) N/A 0.07 0.605 0.204 0. 0. 0. 0.


















Problem 585 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 94 190 0 0 0 0
normalized size 1 1. 0.76 1.54 0. 0. 0. 0.
time (sec) N/A 0.091 0.348 0.199 0. 0. 0. 0.


















Problem 586 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 143 127 382 0 0 0 0
normalized size 1 1. 0.89 2.67 0. 0. 0. 0.
time (sec) N/A 0.16 0.772 0.313 0. 0. 0. 0.


















Problem 587 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 143 126 712 0 0 0 0
normalized size 1 1. 0.88 4.98 0. 0. 0. 0.
time (sec) N/A 0.163 0.637 0.296 0. 0. 0. 0.


















Problem 588 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 87 339 0 0 0 0
normalized size 1 1. 0.84 3.29 0. 0. 0. 0.
time (sec) N/A 0.123 0.617 0.282 0. 0. 0. 0.


















Problem 589 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 64 2564 0 0 0 0
normalized size 1 1. 0.67 26.99 0. 0. 0. 0.
time (sec) N/A 0.126 0.886 0.309 0. 0. 0. 0.


















Problem 590 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 101 320 0 0 0 0
normalized size 1 1. 0.73 2.3 0. 0. 0. 0.
time (sec) N/A 0.162 0.519 0.277 0. 0. 0. 0.


















Problem 591 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 92 670 0 0 0 0
normalized size 1 1. 0.63 4.62 0. 0. 0. 0.
time (sec) N/A 0.166 0.922 0.275 0. 0. 0. 0.


















Problem 592 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 184 184 127 359 0 0 0 0
normalized size 1 1. 0.69 1.95 0. 0. 0. 0.
time (sec) N/A 0.192 2.222 0.281 0. 0. 0. 0.


















Problem 593 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 184 184 126 697 0 0 0 0
normalized size 1 1. 0.68 3.79 0. 0. 0. 0.
time (sec) N/A 0.192 2.843 0.352 0. 0. 0. 0.


















Problem 594 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 198 198 157 414 0 0 0 0
normalized size 1 1. 0.79 2.09 0. 0. 0. 0.
time (sec) N/A 0.154 1.691 0.382 0. 0. 0. 0.


















Problem 595 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 155 759 0 0 0 0
normalized size 1 1. 0.88 4.31 0. 0. 0. 0.
time (sec) N/A 0.146 1.784 0.34 0. 0. 0. 0.


















Problem 596 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 129 132 373 0 0 0 0
normalized size 1 1. 1.02 2.89 0. 0. 0. 0.
time (sec) N/A 0.112 2.031 0.327 0. 0. 0. 0.


















Problem 597 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 178 178 130 5006 0 0 0 0
normalized size 1 1. 0.73 28.12 0. 0. 0. 0.
time (sec) N/A 0.141 1.891 0.346 0. 0. 0. 0.


















Problem 598 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 146 146 117 342 0 0 0 0
normalized size 1 1. 0.8 2.34 0. 0. 0. 0.
time (sec) N/A 0.124 1.308 0.303 0. 0. 0. 0.


















Problem 599 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 204 204 150 1920 0 0 0 0
normalized size 1 1. 0.74 9.41 0. 0. 0. 0.
time (sec) N/A 0.157 1.461 0.314 0. 0. 0. 0.


















Problem 600 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 170 170 150 391 0 0 0 0
normalized size 1 1. 0.88 2.3 0. 0. 0. 0.
time (sec) N/A 0.143 2.441 0.304 0. 0. 0. 0.


















Problem 601 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 372 745 0 0 0 0
normalized size 1 1. 2.11 4.23 0. 0. 0. 0.
time (sec) N/A 0.139 6.378 0.384 0. 0. 0. 0.


















Problem 602 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 218 218 296 430 0 0 0 0
normalized size 1 1. 1.36 1.97 0. 0. 0. 0.
time (sec) N/A 0.167 6.438 0.387 0. 0. 0. 0.


















Problem 603 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 456 456 11149 26371 0 0 0 0
normalized size 1 1. 24.45 57.83 0. 0. 0. 0.
time (sec) N/A 0.408 29.331 0.654 0. 0. 0. 0.


















Problem 604 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 396 396 6631 10704 0 0 0 0
normalized size 1 1. 16.74 27.03 0. 0. 0. 0.
time (sec) N/A 0.384 24.628 0.497 0. 0. 0. 0.


















Problem 605 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 334 334 6301 3737 0 0 0 0
normalized size 1 1. 18.87 11.19 0. 0. 0. 0.
time (sec) N/A 0.294 21.676 0.326 0. 0. 0. 0.


















Problem 606 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 324 324 4648 3130 0 0 0 0
normalized size 1 1. 14.35 9.66 0. 0. 0. 0.
time (sec) N/A 0.301 24.067 0.357 0. 0. 0. 0.


















Problem 607 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 451 451 4693 8821 0 0 0 0
normalized size 1 1. 10.41 19.56 0. 0. 0. 0.
time (sec) N/A 0.423 30.349 0.433 0. 0. 0. 0.


















Problem 608 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 422 422 9313 6252 0 0 0 0
normalized size 1 1. 22.07 14.82 0. 0. 0. 0.
time (sec) N/A 0.432 26.574 0.313 0. 0. 0. 0.


















Problem 609 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 568 568 17838 14547 0 0 0 0
normalized size 1 1. 31.4 25.61 0. 0. 0. 0.
time (sec) N/A 0.609 32.674 0.536 0. 0. 0. 0.


















Problem 610 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 480 480 1129 44463 0 0 0 0
normalized size 1 1. 2.35 92.63 0. 0. 0. 0.
time (sec) N/A 0.382 22.145 4.405 0. 0. 0. 0.


















Problem 611 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 440 440 3091 5329 0 0 0 0
normalized size 1 1. 7.02 12.11 0. 0. 0. 0.
time (sec) N/A 0.395 21.802 0.607 0. 0. 0. 0.


















Problem 612 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 477 477 6560 25422 0 0 0 0
normalized size 1 1. 13.75 53.3 0. 0. 0. 0.
time (sec) N/A 0.385 29.786 1.04 0. 0. 0. 0.


















Problem 613 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 430 430 8876 14318 0 0 0 0
normalized size 1 1. 20.64 33.3 0. 0. 0. 0.
time (sec) N/A 0.38 26.126 0.877 0. 0. 0. 0.


















Problem 614 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 555 555 17812 38627 0 0 0 0
normalized size 1 1. 32.09 69.6 0. 0. 0. 0.
time (sec) N/A 0.537 32.126 2.362 0. 0. 0. 0.


















Problem 615 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 520 520 11962 15455 0 0 0 0
normalized size 1 1. 23. 29.72 0. 0. 0. 0.
time (sec) N/A 0.566 27.634 0.838 0. 0. 0. 0.


















Problem 616 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 700 700 18542 44337 0 0 0 0
normalized size 1 1. 26.49 63.34 0. 0. 0. 0.
time (sec) N/A 0.714 31.922 1.676 0. 0. 0. 0.


















Problem 617 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 583 583 14257 101372 0 0 0 0
normalized size 1 1. 24.45 173.88 0. 0. 0. 0.
time (sec) N/A 0.517 29.018 5.917 0. 0. 0. 0.


















Problem 618 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 532 532 4504 45973 0 0 0 0
normalized size 1 1. 8.47 86.42 0. 0. 0. 0.
time (sec) N/A 0.498 25.755 3.185 0. 0. 0. 0.


















Problem 619 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 566 566 14396 80250 0 0 0 0
normalized size 1 1. 25.43 141.78 0. 0. 0. 0.
time (sec) N/A 0.539 29.113 4.376 0. 0. 0. 0.


















Problem 620 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 515 515 4471 82060 0 0 0 0
normalized size 1 1. 8.68 159.34 0. 0. 0. 0.
time (sec) N/A 0.522 25.245 4.334 0. 0. 0. 0.


















Problem 621 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 664 664 14684 100394 0 0 0 0
normalized size 1 1. 22.11 151.2 0. 0. 0. 0.
time (sec) N/A 0.761 29.233 11.363 0. 0. 0. 0.


















Problem 622 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 620 620 4725 82289 0 0 0 0
normalized size 1 1. 7.62 132.72 0. 0. 0. 0.
time (sec) N/A 0.759 24.883 2.92 0. 0. 0. 0.


















Problem 623 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 814 814 15513 114407 0 0 0 0
normalized size 1 1. 19.06 140.55 0. 0. 0. 0.
time (sec) N/A 0.915 28.701 4.79 0. 0. 0. 0.


















Problem 624 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 126 0 0 0 0 0
normalized size 1 1. 1.62 0. 0. 0. 0. 0.
time (sec) N/A 0.064 0.507 0.1 0. 0. 0. 0.


















Problem 625 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 58 0 0 0 0 0
normalized size 1 1. 0.76 0. 0. 0. 0. 0.
time (sec) N/A 0.06 0.174 0.124 0. 0. 0. 0.


















Problem 626 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 76 76 119 0 0 0 0 0
normalized size 1 1. 1.57 0. 0. 0. 0. 0.
time (sec) N/A 0.06 0.929 0.138 0. 0. 0. 0.


















Problem 627 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 94 0 0 0 0 0
normalized size 1 1. 1.21 0. 0. 0. 0. 0.
time (sec) N/A 0.064 0.434 0.094 0. 0. 0. 0.


















Problem 628 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 108 0 0 0 0 0
normalized size 1 1. 0.91 0. 0. 0. 0. 0.
time (sec) N/A 0.152 1.737 0.147 0. 0. 0. 0.


















Problem 629 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 83 0 0 0 0 0
normalized size 1 1. 0.7 0. 0. 0. 0. 0.
time (sec) N/A 0.136 0.461 0.141 0. 0. 0. 0.


















Problem 630 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 119 119 209 0 0 0 0 0
normalized size 1 1. 1.76 0. 0. 0. 0. 0.
time (sec) N/A 0.143 3.918 0.144 0. 0. 0. 0.


















Problem 631 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 119 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.154 0.488 0.142 0. 0. 0. 0.


















Problem 632 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 552 552 276 0 0 0 0 0
normalized size 1 1. 0.5 0. 0. 0. 0. 0.
time (sec) N/A 0.849 5.833 0.174 0. 0. 0. 0.


















Problem 633 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 552 552 280 0 0 0 0 0
normalized size 1 1. 0.51 0. 0. 0. 0. 0.
time (sec) N/A 0.769 4.347 0.175 0. 0. 0. 0.


















Problem 634 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 579 579 285 0 0 0 0 0
normalized size 1 1. 0.49 0. 0. 0. 0. 0.
time (sec) N/A 0.85 21.344 0.167 0. 0. 0. 0.


















Problem 635 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 581 581 6862 0 0 0 0 0
normalized size 1 1. 11.81 0. 0. 0. 0. 0.
time (sec) N/A 0.819 31.737 0.169 0. 0. 0. 0.


















Problem 636 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 687 687 3398 0 0 0 0 0
normalized size 1 1. 4.95 0. 0. 0. 0. 0.
time (sec) N/A 0.944 39.189 0.278 0. 0. 0. 0.


















Problem 637 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 687 687 4485 0 0 0 0 0
normalized size 1 1. 6.53 0. 0. 0. 0. 0.
time (sec) N/A 0.884 25.496 0.274 0. 0. 0. 0.


















Problem 638 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 715 715 9626 0 0 0 0 0
normalized size 1 1. 13.46 0. 0. 0. 0. 0.
time (sec) N/A 0.994 51.389 0.278 0. 0. 0. 0.


















Problem 639 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 717 717 5235 0 0 0 0 0
normalized size 1 1. 7.3 0. 0. 0. 0. 0.
time (sec) N/A 0.969 27.466 0.272 0. 0. 0. 0.


















Problem 640 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 173 167 175 0 0 0 0 0
normalized size 1 0.97 1.01 0. 0. 0. 0. 0.
time (sec) N/A 0.197 57.256 0.543 0. 0. 0. 0.


















Problem 641 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 147 147 11095 0 0 0 0 0
normalized size 1 1. 75.48 0. 0. 0. 0. 0.
time (sec) N/A 0.166 26.543 0.325 0. 0. 0. 0.


















Problem 642 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 93 93 3302 0 0 0 0 0
normalized size 1 1. 35.51 0. 0. 0. 0. 0.
time (sec) N/A 0.062 16.828 0.501 0. 0. 0. 0.


















Problem 643 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 141 141 1158 0 0 0 0 0
normalized size 1 1. 8.21 0. 0. 0. 0. 0.
time (sec) N/A 0.157 15.053 0.228 0. 0. 0. 0.


















Problem 644 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 227 227 356 0 0 0 0 0
normalized size 1 1. 1.57 0. 0. 0. 0. 0.
time (sec) N/A 0.198 3.249 0.267 0. 0. 0. 0.


















Problem 645 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F(-1) F
verified N/A NO NO TBD TBD TBD TBD TBD
size 181 187 699 0 0 0 0 0
normalized size 1 1.03 3.86 0. 0. 0. 0. 0.
time (sec) N/A 0.168 6.203 0.284 0. 0. 0. 0.


















Problem 646 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 161 161 0 0 899 0 0
normalized size 1 1. 1. 0. 0. 5.58 0. 0.
time (sec) N/A 0.123 2.962 0.245 0. 3.442 0. 0.


















Problem 647 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 71 0 0 392 0 0
normalized size 1 1. 0.81 0. 0. 4.45 0. 0.
time (sec) N/A 0.076 0.24 0.197 0. 2.777 0. 0.


















Problem 648 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 26 27 0 155 0 35
normalized size 1 1. 1. 1.04 0. 5.96 0. 1.35
time (sec) N/A 0.044 0.178 0.017 0. 2.559 0. 2.963


















Problem 649 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 272 272 225 0 0 0 0 0
normalized size 1 1. 0.83 0. 0. 0. 0. 0.
time (sec) N/A 0.457 1.24 0.377 0. 0. 0. 0.


















Problem 650 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 434 434 360 0 0 0 0 0
normalized size 1 1. 0.83 0. 0. 0. 0. 0.
time (sec) N/A 0.687 4.34 0.328 0. 0. 0. 0.


















Problem 651 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 159 159 306 0 0 0 0 0
normalized size 1 1. 1.92 0. 0. 0. 0. 0.
time (sec) N/A 0.164 3.915 0.183 0. 0. 0. 0.


















Problem 652 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 159 159 340 0 0 0 0 0
normalized size 1 1. 2.14 0. 0. 0. 0. 0.
time (sec) N/A 0.113 3.759 0.346 0. 0. 0. 0.


















Problem 653 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 161 161 341 0 0 0 0 0
normalized size 1 1. 2.12 0. 0. 0. 0. 0.
time (sec) N/A 0.125 4.786 0.156 0. 0. 0. 0.


















Problem 654 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 161 161 341 0 0 0 0 0
normalized size 1 1. 2.12 0. 0. 0. 0. 0.
time (sec) N/A 0.134 6.176 0.613 0. 0. 0. 0.


















Problem 655 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 133 241 0 0 0 0
normalized size 1 1. 1.07 1.94 0. 0. 0. 0.
time (sec) N/A 0.135 0.689 2.749 0. 0. 0. 0.


















Problem 656 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 387 205 0 0 0 0
normalized size 1 1. 4.3 2.28 0. 0. 0. 0.
time (sec) N/A 0.111 12.476 2.346 0. 0. 0. 0.


















Problem 657 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 100 168 0 0 0 0
normalized size 1 1. 1.11 1.87 0. 0. 0. 0.
time (sec) N/A 0.109 0.343 2.457 0. 0. 0. 0.


















Problem 658 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 244 108 0 0 0 0
normalized size 1 1. 4.07 1.8 0. 0. 0. 0.
time (sec) N/A 0.078 0.691 1.352 0. 0. 0. 0.


















Problem 659 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 60 60 143 94 0 0 0 0
normalized size 1 1. 2.38 1.57 0. 0. 0. 0.
time (sec) N/A 0.079 1.114 2.592 0. 0. 0. 0.


















Problem 660 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 92 369 214 0 0 0 0
normalized size 1 1.03 4.15 2.4 0. 0. 0. 0.
time (sec) N/A 0.105 3.953 3.768 0. 0. 0. 0.


















Problem 661 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 57 283 0 0 0 0
normalized size 1 1. 0.59 2.95 0. 0. 0. 0.
time (sec) N/A 0.104 0.495 4.727 0. 0. 0. 0.


















Problem 662 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 596 396 0 0 0 0
normalized size 1 1. 4.58 3.05 0. 0. 0. 0.
time (sec) N/A 0.127 6.471 8.012 0. 0. 0. 0.


















Problem 663 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 190 190 156 387 0 0 0 0
normalized size 1 1. 0.82 2.04 0. 0. 0. 0.
time (sec) N/A 0.221 1.236 3.086 0. 0. 0. 0.


















Problem 664 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 471 351 0 0 0 0
normalized size 1 1. 3.06 2.28 0. 0. 0. 0.
time (sec) N/A 0.191 3.124 3.112 0. 0. 0. 0.


















Problem 665 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 131 315 0 0 0 0
normalized size 1 1. 0.85 2.05 0. 0. 0. 0.
time (sec) N/A 0.198 0.661 2.975 0. 0. 0. 0.


















Problem 666 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 126 420 277 0 0 0 0
normalized size 1 1.05 3.5 2.31 0. 0. 0. 0.
time (sec) N/A 0.167 1.75 2.736 0. 0. 0. 0.


















Problem 667 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 126 158 240 0 0 0 0
normalized size 1 1.05 1.32 2. 0. 0. 0. 0.
time (sec) N/A 0.158 0.64 2.564 0. 0. 0. 0.


















Problem 668 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 244 207 0 0 0 0
normalized size 1 1. 2.65 2.25 0. 0. 0. 0.
time (sec) N/A 0.154 0.675 2.392 0. 0. 0. 0.


















Problem 669 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 116 170 0 0 0 0
normalized size 1 1. 1.26 1.85 0. 0. 0. 0.
time (sec) N/A 0.15 0.369 2.291 0. 0. 0. 0.


















Problem 670 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 255 135 0 0 0 0
normalized size 1 1. 2.09 1.11 0. 0. 0. 0.
time (sec) N/A 0.171 0.985 1.97 0. 0. 0. 0.


















Problem 671 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 67 208 0 0 0 0
normalized size 1 1. 0.53 1.65 0. 0. 0. 0.
time (sec) N/A 0.172 0.358 3.309 0. 0. 0. 0.


















Problem 672 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 164 164 406 321 0 0 0 0
normalized size 1 1. 2.48 1.96 0. 0. 0. 0.
time (sec) N/A 0.191 5.812 5.024 0. 0. 0. 0.


















Problem 673 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 179 179 80 97 273 300 0 0
normalized size 1 1. 0.45 0.54 1.53 1.68 0. 0.
time (sec) N/A 0.383 0.536 0.388 2.924 2.073 0. 0.


















Problem 674 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 63 80 200 255 0 0
normalized size 1 1. 0.48 0.61 1.52 1.93 0. 0.
time (sec) N/A 0.288 0.337 0.373 3.116 2.065 0. 0.


















Problem 675 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 86 56 70 80 204 0 0
normalized size 1 1.01 0.66 0.82 0.94 2.4 0. 0.
time (sec) N/A 0.212 0.203 0.338 3.022 2.061 0. 0.


















Problem 676 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 36 45 103 157 0 0
normalized size 1 1. 1. 1.25 2.86 4.36 0. 0.
time (sec) N/A 0.129 0.171 0.322 2.362 2.103 0. 0.


















Problem 677 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 335 335 125 226 1890 917 0 0
normalized size 1 1. 0.37 0.67 5.64 2.74 0. 0.
time (sec) N/A 0.214 0.849 0.371 3.137 2.263 0. 0.


















Problem 678 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 524 620 274 308 2476 1303 0 0
normalized size 1 1.18 0.52 0.59 4.73 2.49 0. 0.
time (sec) N/A 0.59 3.893 0.412 3.34 2.248 0. 0.


















Problem 679 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 512 512 227 366 3058 1628 0 0
normalized size 1 1. 0.44 0.71 5.97 3.18 0. 0.
time (sec) N/A 0.564 2.387 0.432 3.603 2.577 0. 0.


















Problem 680 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 719 719 305 417 3606 1883 0 0
normalized size 1 1. 0.42 0.58 5.02 2.62 0. 0.
time (sec) N/A 0.86 2.981 0.379 4.327 2.729 0. 0.


















Problem 681 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 80 110 273 305 0 0
normalized size 1 1. 0.46 0.63 1.56 1.74 0. 0.
time (sec) N/A 0.378 0.53 0.336 3.248 2.135 0. 0.


















Problem 682 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 63 100 184 252 0 0
normalized size 1 1. 0.5 0.79 1.46 2. 0. 0.
time (sec) N/A 0.313 0.336 0.35 3.569 2.063 0. 0.


















Problem 683 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 48 74 108 204 0 0
normalized size 1 1. 0.6 0.92 1.35 2.55 0. 0.
time (sec) N/A 0.209 0.19 0.364 3.144 2.098 0. 0.


















Problem 684 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 36 69 103 165 0 0
normalized size 1 1. 1. 1.92 2.86 4.58 0. 0.
time (sec) N/A 0.139 0.173 0.45 2.307 2.049 0. 0.


















Problem 685 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 495 495 209 232 964 973 0 0
normalized size 1 1. 0.42 0.47 1.95 1.97 0. 0.
time (sec) N/A 0.332 9.516 0.362 3.32 2.298 0. 0.


















Problem 686 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 470 470 250 313 2909 1331 0 0
normalized size 1 1. 0.53 0.67 6.19 2.83 0. 0.
time (sec) N/A 0.441 1.691 0.356 3.326 2.259 0. 0.


















Problem 687 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 682 682 245 371 3056 1669 0 0
normalized size 1 1. 0.36 0.54 4.48 2.45 0. 0.
time (sec) N/A 0.778 1.577 0.392 3.931 2.431 0. 0.


















Problem 688 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 105 105 192 0 0 0 0 0
normalized size 1 1. 1.83 0. 0. 0. 0. 0.
time (sec) N/A 0.231 13.21 0.725 0. 0. 0. 0.


















Problem 689 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 86 86 125 0 0 0 0 0
normalized size 1 1. 1.45 0. 0. 0. 0. 0.
time (sec) N/A 0.219 1.586 0.419 0. 0. 0. 0.


















Problem 690 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 82 82 131 0 0 0 0 0
normalized size 1 1. 1.6 0. 0. 0. 0. 0.
time (sec) N/A 0.175 7.578 0.506 0. 0. 0. 0.


















Problem 691 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 86 86 147 0 0 0 0 0
normalized size 1 1. 1.71 0. 0. 0. 0. 0.
time (sec) N/A 0.238 59.159 0.868 0. 0. 0. 0.


















Problem 692 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 86 86 154 0 0 0 0 0
normalized size 1 1. 1.79 0. 0. 0. 0. 0.
time (sec) N/A 0.237 69.348 1.24 0. 0. 0. 0.


















Problem 693 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 105 105 106 0 0 0 0 0
normalized size 1 1. 1.01 0. 0. 0. 0. 0.
time (sec) N/A 0.286 0.807 0.388 0. 0. 0. 0.


















Problem 694 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 104 104 143 0 0 0 0 0
normalized size 1 1. 1.38 0. 0. 0. 0. 0.
time (sec) N/A 0.29 14.894 0.363 0. 0. 0. 0.


















Problem 695 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 183 175 215 0 0 0 0 0
normalized size 1 0.96 1.17 0. 0. 0. 0. 0.
time (sec) N/A 0.285 59.059 0.644 0. 0. 0. 0.


















Problem 696 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 155 155 330 0 0 0 0 0
normalized size 1 1. 2.13 0. 0. 0. 0. 0.
time (sec) N/A 0.238 3.735 0.371 0. 0. 0. 0.


















Problem 697 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 90 91 203 0 0 0 0 0
normalized size 1 1.01 2.26 0. 0. 0. 0. 0.
time (sec) N/A 0.1 1.027 0.558 0. 0. 0. 0.


















Problem 698 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 140 140 1132 0 0 0 0 0
normalized size 1 1. 8.09 0. 0. 0. 0. 0.
time (sec) N/A 0.211 14.102 0.216 0. 0. 0. 0.


















Problem 699 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 227 227 361 0 0 0 0 0
normalized size 1 1. 1.59 0. 0. 0. 0. 0.
time (sec) N/A 0.277 3.128 0.306 0. 0. 0. 0.


















Problem 700 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 187 187 698 0 0 0 0 0
normalized size 1 1. 3.73 0. 0. 0. 0. 0.
time (sec) N/A 0.203 22.484 0.239 0. 0. 0. 0.









2.3 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi. It gives additional statistics for each integral. the column steps is the number of steps used by Rubi to obtain the antiderivative. The rules column is the number of unique rules used. The integrand size column is the leaf size of the integrand. Finally the ratio \(\frac{\text{number of rules}}{\text{integrand size}}\) is given. The larger this ratio is, the harder the integral was to solve. In this test, problem number [616] had the largest ratio of [ 0.68 ]

Table 2.1Rubi specific breakdown of results for each integral














# grade
number of
steps
used
number of
unique
rules
normalized
antiderivative
leaf size
integrand
leaf size
\(\frac{\text{number of rules}}{\text{integrand leaf size}}\)







1 A 3 2 1. 22 0.091







2 A 3 2 1. 22 0.091







3 A 3 2 1. 22 0.091







4 A 3 2 1. 22 0.091







5 A 3 3 1.11 22 0.136







6 A 2 1 1. 13 0.077







7 A 3 3 1. 22 0.136







8 A 4 3 1. 22 0.136







9 A 5 3 1. 22 0.136







10 A 6 3 1. 22 0.136







11 A 5 3 1. 22 0.136







12 A 4 3 1. 22 0.136







13 A 3 3 1. 22 0.136







14 A 2 2 1. 20 0.1







15 A 2 2 1. 20 0.1







16 A 3 2 1. 22 0.091







17 A 3 2 1. 22 0.091







18 A 3 2 1. 22 0.091







19 A 3 2 1. 24 0.083







20 A 3 2 1. 24 0.083







21 A 3 2 1. 24 0.083







22 A 2 2 1. 24 0.083







23 A 2 2 1. 15 0.133







24 A 2 2 1. 24 0.083







25 A 4 3 1. 24 0.125







26 A 4 3 1. 24 0.125







27 A 4 3 1. 24 0.125







28 A 5 4 1. 24 0.167







29 A 4 4 1. 24 0.167







30 A 3 3 1. 22 0.136







31 A 2 2 1. 22 0.091







32 A 2 2 1. 24 0.083







33 A 3 2 1. 24 0.083







34 A 3 2 1. 24 0.083







35 A 3 2 1. 24 0.083







36 A 3 2 1. 24 0.083







37 A 3 2 1. 24 0.083







38 A 3 2 1. 24 0.083







39 A 2 2 1. 24 0.083







40 A 3 3 1. 15 0.2







41 A 3 2 1. 24 0.083







42 A 2 2 1. 24 0.083







43 A 4 3 1. 24 0.125







44 A 4 3 1. 24 0.125







45 A 5 4 1. 24 0.167







46 A 4 3 1. 22 0.136







47 A 3 3 1. 22 0.136







48 A 1 1 1. 24 0.042







49 A 4 3 1. 24 0.125







50 A 4 3 1. 24 0.125







51 A 4 3 1. 24 0.125







52 A 6 4 1. 24 0.167







53 A 5 3 1. 22 0.136







54 A 4 4 1. 22 0.182







55 A 3 2 1. 24 0.083







56 A 2 2 1. 24 0.083







57 A 4 2 1. 24 0.083







58 A 4 2 1. 24 0.083







59 A 3 2 1. 24 0.083







60 A 3 2 1. 24 0.083







61 A 3 2 1. 24 0.083







62 A 2 2 1. 24 0.083







63 A 5 3 1. 15 0.2







64 A 3 2 1. 24 0.083







65 A 3 2 1. 24 0.083







66 A 3 2 1. 24 0.083







67 A 2 2 1. 24 0.083







68 A 4 3 1. 24 0.125







69 A 4 3 1. 24 0.125







70 A 6 3 1. 22 0.136







71 A 5 4 1. 22 0.182







72 A 4 3 1. 24 0.125







73 A 1 1 1. 24 0.042







74 A 3 2 1. 24 0.083







75 A 5 3 1. 24 0.125







76 A 5 3 1. 24 0.125







77 A 3 2 1. 24 0.083







78 A 3 2 1. 24 0.083







79 A 3 2 1. 24 0.083







80 A 2 2 1. 24 0.083







81 A 8 3 1. 15 0.2







82 A 3 2 1. 24 0.083







83 A 3 2 1. 24 0.083







84 A 3 2 1. 24 0.083







85 A 2 2 1. 24 0.083







86 A 3 2 1. 24 0.083







87 A 3 2 1. 24 0.083







88 A 2 2 1. 24 0.083







89 A 4 3 1. 24 0.125







90 A 4 3 1. 24 0.125







91 A 8 4 1. 22 0.182







92 A 7 4 1. 24 0.167







93 A 6 4 1. 24 0.167







94 A 5 2 1. 24 0.083







95 A 2 2 1. 24 0.083







96 A 4 2 1. 24 0.083







97 A 6 2 1. 24 0.083







98 A 6 2 1. 24 0.083







99 A 3 2 1. 24 0.083







100 A 3 2 1. 24 0.083







101 A 3 2 1. 24 0.083







102 A 2 1 1. 24 0.042







103 A 2 2 1. 24 0.083







104 A 2 2 1. 15 0.133







105 A 4 3 1. 24 0.125







106 A 4 3 1. 24 0.125







107 A 4 3 1. 24 0.125







108 A 3 3 1. 24 0.125







109 A 2 2 1. 24 0.083







110 A 1 1 1. 22 0.045







111 A 2 2 1. 22 0.091







112 A 3 2 1. 24 0.083







113 A 3 2 1. 24 0.083







114 A 3 2 1. 24 0.083







115 A 3 2 1. 24 0.083







116 A 2 2 1. 24 0.083







117 A 3 2 1. 24 0.083







118 A 2 2 1. 24 0.083







119 A 3 2 1. 15 0.133







120 A 4 3 1. 24 0.125







121 A 4 3 1. 24 0.125







122 A 5 3 1. 24 0.125







123 A 4 3 1. 24 0.125







124 A 3 3 1. 24 0.125







125 A 2 2 1. 24 0.083







126 A 2 2 1. 22 0.091







127 A 3 2 1. 22 0.091







128 A 3 2 1. 24 0.083







129 A 3 2 1. 24 0.083







130 A 3 2 1. 24 0.083







131 A 3 2 1. 24 0.083







132 A 3 2 1. 24 0.083







133 A 2 2 1. 24 0.083







134 A 3 2 1. 24 0.083







135 A 3 2 1. 24 0.083







136 A 2 2 1. 24 0.083







137 A 4 2 1. 15 0.133







138 A 4 3 1. 24 0.125







139 A 4 3 1. 24 0.125







140 A 5 4 1. 24 0.167







141 A 4 4 1. 24 0.167







142 A 3 3 1. 24 0.125







143 A 1 1 1. 24 0.042







144 A 3 2 1. 22 0.091







145 A 4 3 1. 22 0.136







146 A 4 3 1. 24 0.125







147 A 4 3 1. 24 0.125







148 A 3 2 1. 24 0.083







149 A 3 2 1. 24 0.083







150 A 2 2 1. 24 0.083







151 A 3 2 1. 24 0.083







152 A 3 2 1. 24 0.083







153 A 2 2 1. 24 0.083







154 A 2 2 1. 24 0.083







155 A 5 2 1. 15 0.133







156 A 4 3 1. 24 0.125







157 A 4 3 1. 24 0.125







158 A 5 3 1. 24 0.125







159 A 4 3 1. 24 0.125







160 A 3 2 1. 24 0.083







161 A 2 2 1. 24 0.083







162 A 4 2 1. 22 0.091







163 A 5 3 1. 22 0.136







164 A 5 3 1. 24 0.125







165 A 5 3 1. 24 0.125







166 A 3 2 1. 24 0.083







167 A 3 2 1. 24 0.083







168 A 3 2 1. 24 0.083







169 A 2 2 1. 24 0.083







170 A 3 2 1. 24 0.083







171 A 3 2 1. 24 0.083







172 A 2 2 1. 24 0.083







173 A 9 2 1. 15 0.133







174 A 4 3 1. 24 0.125







175 A 4 3 1. 24 0.125







176 A 7 3 1. 24 0.125







177 A 6 3 1. 24 0.125







178 A 5 2 1. 24 0.083







179 A 2 2 1. 24 0.083







180 A 4 2 1. 24 0.083







181 A 6 2 1. 24 0.083







182 A 8 2 1. 22 0.091







183 A 9 3 1. 22 0.136







184 A 9 3 1. 24 0.125







185 A 5 4 1. 26 0.154







186 A 4 4 1. 26 0.154







187 A 4 4 1. 26 0.154







188 A 3 3 1. 26 0.115







189 A 3 3 1. 26 0.115







190 A 4 4 1. 26 0.154







191 A 4 4 1. 26 0.154







192 A 5 4 1. 26 0.154







193 A 5 5 1. 28 0.179







194 A 4 4 1. 28 0.143







195 A 4 4 1. 28 0.143







196 A 3 3 1. 28 0.107







197 A 3 3 1. 28 0.107







198 A 4 4 1. 28 0.143







199 A 4 4 1. 28 0.143







200 A 5 4 1. 28 0.143







201 A 7 5 1. 28 0.179







202 A 6 5 1. 28 0.179







203 A 6 5 1. 28 0.179







204 A 5 4 1. 28 0.143







205 A 5 5 1.18 28 0.179







206 A 4 4 1. 28 0.143







207 A 4 4 1. 28 0.143







208 A 4 4 1. 28 0.143







209 A 4 4 1. 28 0.143







210 A 5 5 1. 28 0.179







211 A 5 5 1. 28 0.179







212 A 6 5 1. 28 0.179







213 A 7 5 1. 28 0.179







214 A 6 4 1. 28 0.143







215 A 6 6 1. 28 0.214







216 A 5 5 1. 28 0.179







217 A 5 4 1. 28 0.143







218 A 4 3 1. 28 0.107







219 A 4 3 1. 28 0.107







220 A 5 4 1. 28 0.143







221 A 5 4 1. 28 0.143







222 A 6 4 1. 28 0.143







223 A 5 4 1. 28 0.143







224 A 4 4 1. 28 0.143







225 A 4 4 1. 28 0.143







226 A 3 3 1. 28 0.107







227 A 3 3 1. 28 0.107







228 A 3 3 1. 28 0.107







229 A 3 3 1. 28 0.107







230 A 4 4 1. 28 0.143







231 A 4 4 1. 28 0.143







232 A 5 4 1. 28 0.143







233 A 6 4 1. 28 0.143







234 A 5 4 1. 28 0.143







235 A 5 4 1. 28 0.143







236 A 4 4 1. 28 0.143







237 A 4 4 1. 28 0.143







238 A 3 3 1. 28 0.107







239 A 3 3 1. 28 0.107







240 A 4 4 1. 28 0.143







241 A 4 4 1. 28 0.143







242 A 5 4 1. 28 0.143







243 A 5 4 1. 28 0.143







244 A 6 4 1. 28 0.143







245 A 6 5 1. 28 0.179







246 A 5 5 1. 28 0.179







247 A 5 5 1. 28 0.179







248 A 4 4 1. 28 0.143







249 A 4 4 1. 28 0.143







250 A 4 4 1. 28 0.143







251 A 4 4 1. 28 0.143







252 A 5 5 1. 28 0.179







253 A 5 5 1. 28 0.179







254 A 6 5 1. 28 0.179







255 A 6 4 1. 28 0.143







256 A 5 4 1. 28 0.143







257 A 5 4 1. 28 0.143







258 A 4 3 1. 28 0.107







259 A 4 3 1. 28 0.107







260 A 5 4 1. 28 0.143







261 A 5 4 1. 28 0.143







262 A 6 5 1. 28 0.179







263 A 4 4 1. 26 0.154







264 A 4 4 1. 26 0.154







265 A 4 4 1. 26 0.154







266 A 4 4 1. 26 0.154







267 A 4 4 1. 28 0.143







268 A 4 4 1. 28 0.143







269 A 4 4 1. 28 0.143







270 A 4 4 1. 28 0.143







271 A 4 4 1. 28 0.143







272 A 4 4 1. 28 0.143







273 A 4 4 1. 28 0.143







274 A 4 4 1. 28 0.143







275 A 4 4 1. 28 0.143







276 A 4 4 1. 28 0.143







277 A 4 4 1. 28 0.143







278 A 4 4 1. 28 0.143







279 A 3 2 1. 26 0.077







280 A 3 2 1. 26 0.077







281 A 3 2 1. 26 0.077







282 A 2 2 1. 26 0.077







283 A 5 4 1. 26 0.154







284 A 7 4 1. 26 0.154







285 A 9 4 1. 26 0.154







286 A 4 2 1. 26 0.077







287 A 3 2 1. 26 0.077







288 A 2 2 1. 26 0.077







289 A 1 1 1. 24 0.042







290 A 3 3 1. 24 0.125







291 A 5 5 1. 26 0.192







292 A 7 5 1. 26 0.192







293 A 3 2 1. 26 0.077







294 A 3 2 1. 26 0.077







295 A 3 2 1. 26 0.077







296 A 2 2 1. 26 0.077







297 A 4 4 1. 26 0.154







298 A 6 4 1. 26 0.154







299 A 8 4 1. 26 0.154







300 A 4 2 1. 26 0.077







301 A 3 2 1. 26 0.077







302 A 2 2 1. 24 0.083







303 A 1 1 1. 24 0.042







304 A 4 3 1. 26 0.115







305 A 6 5 1. 26 0.192







306 A 3 2 1. 26 0.077







307 A 3 2 1. 26 0.077







308 A 3 2 1. 26 0.077







309 A 2 2 1. 26 0.077







310 A 4 4 1. 26 0.154







311 A 5 4 1. 26 0.154







312 A 7 4 1. 26 0.154







313 A 4 2 1. 26 0.077







314 A 3 2 1. 24 0.083







315 A 2 2 1. 24 0.083







316 A 1 1 1. 26 0.038







317 A 5 3 1. 26 0.115







318 A 7 5 1. 26 0.192







319 A 3 2 1. 26 0.077







320 A 3 2 1. 26 0.077







321 A 3 2 1. 26 0.077







322 A 2 2 1. 26 0.077







323 A 5 5 1. 26 0.192







324 A 5 5 1. 26 0.192







325 A 6 4 1. 26 0.154







326 A 4 2 1. 24 0.083







327 A 3 2 1. 24 0.083







328 A 2 2 1. 26 0.077







329 A 1 1 1. 26 0.038







330 A 6 3 1. 26 0.115







331 A 8 5 1. 26 0.192







332 A 10 5 1. 26 0.192







333 A 3 2 1. 26 0.077







334 A 3 2 1. 26 0.077







335 A 3 2 1. 26 0.077







336 A 2 2 1. 26 0.077







337 A 6 4 1. 26 0.154







338 A 8 4 1. 26 0.154







339 A 10 4 1. 26 0.154







340 A 4 2 1. 26 0.077







341 A 3 2 1. 26 0.077







342 A 2 2 1. 26 0.077







343 A 1 1 1. 26 0.038







344 A 2 2 1. 24 0.083







345 A 4 4 1. 24 0.167







346 A 6 5 1. 26 0.192







347 A 3 2 1. 26 0.077







348 A 3 2 1. 26 0.077







349 A 3 2 1. 26 0.077







350 A 2 2 1. 26 0.077







351 A 7 4 1. 26 0.154







352 A 9 4 1. 26 0.154







353 A 11 4 1. 26 0.154







354 A 4 2 1. 26 0.077







355 A 3 2 1. 26 0.077







356 A 2 2 1. 26 0.077







357 A 1 1 1. 26 0.038







358 A 3 3 1. 26 0.115







359 A 3 3 1. 24 0.125







360 A 5 4 1. 24 0.167







361 A 7 5 1. 26 0.192







362 A 3 2 1. 26 0.077







363 A 3 2 1. 26 0.077







364 A 3 2 1. 26 0.077







365 A 3 2 1. 26 0.077







366 A 2 2 1. 26 0.077







367 A 8 4 1. 26 0.154







368 A 10 4 1. 26 0.154







369 A 4 2 1. 26 0.077







370 A 3 2 1. 26 0.077







371 A 2 2 1. 26 0.077







372 A 1 1 1. 26 0.038







373 A 4 3 1. 26 0.115







374 A 4 4 1. 26 0.154







375 A 4 3 1. 24 0.125







376 A 6 4 1. 24 0.167







377 A 8 5 1. 26 0.192







378 A 3 2 1. 26 0.077







379 A 3 2 1. 26 0.077







380 A 3 2 1. 26 0.077







381 A 3 2 1. 26 0.077







382 A 2 2 1. 26 0.077







383 A 9 4 1. 26 0.154







384 A 11 4 1. 26 0.154







385 A 3 2 1. 26 0.077







386 A 2 2 1. 26 0.077







387 A 1 1 1. 26 0.038







388 A 5 3 1. 26 0.115







389 A 5 4 1. 26 0.154







390 A 5 4 1. 26 0.154







391 A 5 3 1. 24 0.125







392 A 7 4 1. 24 0.167







393 A 9 5 1. 26 0.192







394 A 12 9 1. 30 0.3







395 A 10 7 1. 30 0.233







396 A 1 1 1. 30 0.033







397 A 2 2 1. 30 0.067







398 A 3 3 1. 30 0.1







399 A 4 3 1. 30 0.1







400 A 13 9 1. 30 0.3







401 A 13 9 1. 30 0.3







402 A 11 8 1. 30 0.267







403 A 12 9 1. 30 0.3







404 A 1 1 1. 30 0.033







405 A 2 2 1. 30 0.067







406 A 3 2 1. 30 0.067







407 A 4 3 1. 30 0.1







408 A 14 9 1. 30 0.3







409 A 12 8 1. 30 0.267







410 A 13 10 1. 30 0.333







411 A 11 8 1. 30 0.267







412 A 1 1 1. 30 0.033







413 A 2 2 1. 30 0.067







414 A 3 2 1. 30 0.067







415 A 4 2 1. 30 0.067







416 A 11 8 1. 30 0.267







417 A 11 8 1. 30 0.267







418 A 1 1 1. 30 0.033







419 A 2 2 1. 30 0.067







420 A 3 3 1. 30 0.1







421 A 4 3 1. 30 0.1







422 A 5 3 1. 30 0.1







423 A 13 10 1. 30 0.333







424 A 11 8 1. 30 0.267







425 A 1 1 1. 30 0.033







426 A 2 2 1. 30 0.067







427 A 3 2 1. 30 0.067







428 A 4 3 1. 30 0.1







429 A 5 3 1. 30 0.1







430 A 12 9 1. 30 0.3







431 A 12 9 1. 30 0.3







432 A 1 1 1. 30 0.033







433 A 2 2 1. 30 0.067







434 A 3 2 1. 30 0.067







435 A 4 2 1. 30 0.067







436 A 5 3 1. 30 0.1







437 A 4 4 1. 30 0.133







438 A 4 4 1. 30 0.133







439 A 4 4 1. 30 0.133







440 A 4 4 1. 30 0.133







441 A 4 4 1. 30 0.133







442 A 4 4 1. 30 0.133







443 A 9 8 1. 30 0.267







444 A 8 8 1. 30 0.267







445 A 6 6 1. 30 0.2







446 A 1 1 1. 30 0.033







447 A 2 2 1. 30 0.067







448 A 3 2 1. 30 0.067







449 A 4 2 1. 30 0.067







450 A 4 4 1. 26 0.154







451 A 4 4 1. 26 0.154







452 A 4 4 1. 26 0.154







453 A 4 4 1. 24 0.167







454 A 4 4 1. 26 0.154







455 A 4 4 1. 26 0.154







456 A 4 4 1. 26 0.154







457 A 4 4 1. 28 0.143







458 A 4 4 1. 28 0.143







459 A 4 4 1. 28 0.143







460 A 4 4 1. 28 0.143







461 A 4 4 1. 28 0.143







462 A 4 4 1. 28 0.143







463 A 4 4 1. 28 0.143







464 A 4 4 1. 26 0.154







465 A 3 2 1. 24 0.083







466 A 3 2 1. 24 0.083







467 A 2 2 1. 24 0.083







468 A 2 2 1. 24 0.083







469 A 2 2 1. 24 0.083







470 A 2 2 1. 24 0.083







471 A 4 4 1. 24 0.167







472 A 4 4 1. 24 0.167







473 A 4 4 1. 22 0.182







474 A 4 4 1. 22 0.182







475 A 4 4 1. 24 0.167







476 A 4 4 1. 24 0.167







477 A 4 4 1. 28 0.143







478 A 4 4 1. 28 0.143







479 A 4 4 1. 28 0.143







480 A 4 4 1. 28 0.143







481 A 4 4 1. 28 0.143







482 A 4 4 1. 28 0.143







483 A 5 2 1. 30 0.067







484 A 4 2 1. 30 0.067







485 A 3 2 1. 30 0.067







486 A 2 2 1. 30 0.067







487 A 1 1 1. 28 0.036







488 A 4 4 1. 30 0.133







489 A 4 4 1. 30 0.133







490 A 4 4 1. 30 0.133







491 A 3 2 1. 30 0.067







492 A 5 5 1. 30 0.167







493 A 2 2 1. 30 0.067







494 A 5 5 1. 30 0.167







495 A 1 1 1. 30 0.033







496 A 5 5 1. 30 0.167







497 A 3 3 1. 28 0.107







498 A 5 5 1. 30 0.167







499 A 4 4 1. 30 0.133







500 A 5 5 1. 30 0.167







501 A 4 4 1. 32 0.125







502 A 4 4 1. 32 0.125







503 A 3 3 1. 30 0.1







504 A 1 1 1. 32 0.031







505 A 2 2 1. 32 0.062







506 A 3 2 1. 32 0.062







507 A 3 2 1. 19 0.105







508 A 4 3 1. 19 0.158







509 A 3 2 1. 19 0.105







510 A 3 3 1. 19 0.158







511 A 3 3 1. 19 0.158







512 A 2 2 1. 17 0.118







513 A 2 2 1. 17 0.118







514 A 3 3 1. 19 0.158







515 A 3 2 1. 19 0.105







516 A 4 3 1. 19 0.158







517 A 4 3 1. 21 0.143







518 A 4 3 1. 21 0.143







519 A 3 2 1. 21 0.095







520 A 2 2 1. 21 0.095







521 A 3 3 1. 21 0.143







522 A 4 4 1. 21 0.19







523 A 6 4 1. 21 0.19







524 A 5 4 1. 21 0.19







525 A 4 4 1. 21 0.19







526 A 3 3 1. 19 0.158







527 A 1 1 1. 19 0.053







528 A 4 3 1. 21 0.143







529 A 4 3 1. 21 0.143







530 A 4 3 1. 21 0.143







531 A 4 3 1. 21 0.143







532 A 3 2 1. 21 0.095







533 A 3 2 1. 21 0.095







534 A 2 2 1. 21 0.095







535 A 6 6 1. 21 0.286







536 A 4 4 1. 21 0.19







537 A 6 5 1.11 21 0.238







538 A 5 5 1.14 21 0.238







539 A 4 4 1.2 19 0.21







540 A 4 4 1.21 19 0.21







541 A 3 3 1. 21 0.143







542 A 4 4 1. 21 0.19







543 A 5 5 1. 21 0.238







544 A 3 2 1. 21 0.095







545 A 3 2 1. 21 0.095







546 A 2 2 1. 21 0.095







547 A 7 6 1. 21 0.286







548 A 8 7 1. 21 0.333







549 A 9 6 1.09 21 0.286







550 A 5 5 1. 21 0.238







551 A 2 2 1. 19 0.105







552 A 5 5 1. 19 0.263







553 A 9 6 1. 21 0.286







554 A 3 2 1. 21 0.095







555 A 3 2 1. 21 0.095







556 A 3 2 1. 21 0.095







557 A 2 2 1. 21 0.095







558 A 7 6 1. 21 0.286







559 A 8 7 1. 21 0.333







560 A 8 7 1. 21 0.333







561 A 7 7 1. 21 0.333







562 A 6 6 1.45 21 0.286







563 A 4 4 1.28 19 0.21







564 A 5 5 1. 19 0.263







565 A 6 6 1. 21 0.286







566 A 3 2 1. 21 0.095







567 A 3 2 1. 21 0.095







568 A 3 2 1. 21 0.095







569 A 2 2 1. 21 0.095







570 A 7 6 1. 21 0.286







571 A 8 7 1. 21 0.333







572 A 8 8 1. 21 0.381







573 A 7 7 1.28 21 0.333







574 A 4 4 1.24 21 0.19







575 A 5 5 1. 19 0.263







576 A 6 6 1. 19 0.316







577 A 7 7 1. 21 0.333







578 A 5 4 1. 23 0.174







579 A 4 4 1. 23 0.174







580 A 4 4 1. 23 0.174







581 A 3 3 1. 23 0.13







582 A 3 3 1. 23 0.13







583 A 4 4 1. 23 0.174







584 A 4 4 1. 23 0.174







585 A 5 4 1. 23 0.174







586 A 5 5 1. 25 0.2







587 A 5 5 1. 25 0.2







588 A 4 4 1. 25 0.16







589 A 4 4 1. 25 0.16







590 A 5 5 1. 25 0.2







591 A 5 5 1. 25 0.2







592 A 6 5 1. 25 0.2







593 A 6 5 1. 25 0.2







594 A 5 5 1. 25 0.2







595 A 5 5 1. 25 0.2







596 A 4 4 1. 25 0.16







597 A 5 5 1. 25 0.2







598 A 4 4 1. 25 0.16







599 A 5 5 1. 25 0.2







600 A 4 4 1. 25 0.16







601 A 4 4 1. 25 0.16







602 A 5 5 1. 25 0.2







603 A 17 15 1. 25 0.6







604 A 17 15 1. 25 0.6







605 A 13 11 1. 25 0.44







606 A 14 12 1. 25 0.48







607 A 17 15 1. 25 0.6







608 A 17 15 1. 25 0.6







609 A 18 16 1. 25 0.64







610 A 17 15 1. 25 0.6







611 A 17 15 1. 25 0.6







612 A 17 15 1. 25 0.6







613 A 17 15 1. 25 0.6







614 A 18 16 1. 25 0.64







615 A 18 16 1. 25 0.64







616 A 19 17 1. 25 0.68







617 A 18 16 1. 25 0.64







618 A 18 16 1. 25 0.64







619 A 18 16 1. 25 0.64







620 A 18 16 1. 25 0.64







621 A 19 16 1. 25 0.64







622 A 19 16 1. 25 0.64







623 A 20 17 1. 25 0.68







624 A 3 3 1. 23 0.13







625 A 3 3 1. 23 0.13







626 A 3 3 1. 23 0.13







627 A 3 3 1. 23 0.13







628 A 4 4 1. 25 0.16







629 A 4 4 1. 25 0.16







630 A 4 4 1. 25 0.16







631 A 4 4 1. 25 0.16







632 A 16 11 1. 25 0.44







633 A 16 11 1. 25 0.44







634 A 17 12 1. 25 0.48







635 A 17 12 1. 25 0.48







636 A 18 13 1. 25 0.52







637 A 18 13 1. 25 0.52







638 A 19 13 1. 25 0.52







639 A 19 13 1. 25 0.52







640 A 4 4 0.97 23 0.174







641 A 4 4 1. 23 0.174







642 A 3 3 1. 21 0.143







643 A 6 5 1. 23 0.217







644 A 7 6 1. 23 0.261







645 A 3 3 1.03 23 0.13







646 A 3 2 1. 21 0.095







647 A 3 2 1. 21 0.095







648 A 2 2 1. 21 0.095







649 A 6 4 1. 21 0.19







650 A 7 5 1. 21 0.238







651 A 3 3 1. 21 0.143







652 A 3 3 1. 19 0.158







653 A 3 3 1. 19 0.158







654 A 3 3 1. 21 0.143







655 A 6 5 1. 26 0.192







656 A 5 5 1. 26 0.192







657 A 5 5 1. 26 0.192







658 A 4 4 1. 26 0.154







659 A 4 4 1. 26 0.154







660 A 5 5 1.03 26 0.192







661 A 5 5 1. 26 0.192







662 A 6 5 1. 26 0.192







663 A 7 5 1. 28 0.179







664 A 6 5 1. 28 0.179







665 A 6 5 1. 28 0.179







666 A 5 5 1.05 28 0.179







667 A 5 5 1.05 28 0.179







668 A 4 4 1. 28 0.143







669 A 4 4 1. 28 0.143







670 A 5 5 1. 28 0.179







671 A 5 5 1. 28 0.179







672 A 6 5 1. 28 0.179







673 A 5 4 1. 30 0.133







674 A 4 4 1. 30 0.133







675 A 3 3 1.01 30 0.1







676 A 2 2 1. 30 0.067







677 A 10 7 1. 30 0.233







678 A 13 10 1.18 30 0.333







679 A 13 10 1. 30 0.333







680 A 15 11 1. 30 0.367







681 A 5 4 1. 30 0.133







682 A 4 4 1. 30 0.133







683 A 3 3 1. 30 0.1







684 A 2 2 1. 30 0.067







685 A 11 8 1. 30 0.267







686 A 12 9 1. 30 0.3







687 A 14 11 1. 30 0.367







688 A 5 5 1. 26 0.192







689 A 5 5 1. 26 0.192







690 A 5 5 1. 24 0.208







691 A 5 5 1. 26 0.192







692 A 5 5 1. 26 0.192







693 A 5 5 1. 28 0.179







694 A 5 5 1. 28 0.179







695 A 5 5 0.96 23 0.217







696 A 5 5 1. 23 0.217







697 A 4 4 1.01 21 0.19







698 A 7 6 1. 23 0.261







699 A 8 7 1. 23 0.304







700 A 4 4 1. 23 0.174